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Finding the Third Proportional to 7,364,526,565 and 16,154,863,405.50

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Solution

The third proportional to 7,364,526,565 and 16,154,863,405.50 is: 35,437,391,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364,526,565 : 16,154,863,405.50 = 16,154,863,405.50 : x
  2. Step 2: Convert to fraction form
    7,364,526,565/16,154,863,405.50 = 16,154,863,405.50/x
  3. Step 3: Cross multiply
    7,364,526,565x = 16,154,863,405.50 × 16,154,863,405.50
  4. Step 4: Simplify right side
    7,364,526,565x = 260,979,611,650,363,064,320
  5. Step 5: Solve for x
    x = 260,979,611,650,363,064,320/7,364,526,565
  6. Step 6: Final answer
    x = 35,437,391,575.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.