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Finding the Third Proportional to 3,594,112,482,850.80 and 7,288,235,343,766.20

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Solution

The third proportional to 3,594,112,482,850.80 and 7,288,235,343,766.20 is: 14,779,274,349,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594,112,482,850.80 : 7,288,235,343,766.20 = 7,288,235,343,766.20 : x
  2. Step 2: Convert to fraction form
    3,594,112,482,850.80/7,288,235,343,766.20 = 7,288,235,343,766.20/x
  3. Step 3: Cross multiply
    3,594,112,482,850.80x = 7,288,235,343,766.20 × 7,288,235,343,766.20
  4. Step 4: Simplify right side
    3,594,112,482,850.80x = 53,118,374,426,122,820,207,509,504
  5. Step 5: Solve for x
    x = 53,118,374,426,122,820,207,509,504/3,594,112,482,850.80
  6. Step 6: Final answer
    x = 14,779,274,349,251.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.