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Finding the Third Proportional to 4,921,620.75 and 7,705,000.13

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Solution

The third proportional to 4,921,620.75 and 7,705,000.13 is: 12,062,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921,620.75 : 7,705,000.13 = 7,705,000.13 : x
  2. Step 2: Convert to fraction form
    4,921,620.75/7,705,000.13 = 7,705,000.13/x
  3. Step 3: Cross multiply
    4,921,620.75x = 7,705,000.13 × 7,705,000.13
  4. Step 4: Simplify right side
    4,921,620.75x = 59,367,026,926,250.02
  5. Step 5: Solve for x
    x = 59,367,026,926,250.02/4,921,620.75
  6. Step 6: Final answer
    x = 12,062,495.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.