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Finding the Third Proportional to 10,746,127,792.50 and 23,252,466,909

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Solution

The third proportional to 10,746,127,792.50 and 23,252,466,909 is: 50,313,678,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746,127,792.50 : 23,252,466,909 = 23,252,466,909 : x
  2. Step 2: Convert to fraction form
    10,746,127,792.50/23,252,466,909 = 23,252,466,909/x
  3. Step 3: Cross multiply
    10,746,127,792.50x = 23,252,466,909 × 23,252,466,909
  4. Step 4: Simplify right side
    10,746,127,792.50x = 540,677,217,354,140,024,832
  5. Step 5: Solve for x
    x = 540,677,217,354,140,024,832/10,746,127,792.50
  6. Step 6: Final answer
    x = 50,313,678,358.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.