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Finding the Third Proportional to 2,466,375,285.09 and 5,755,074,427.83

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Solution

The third proportional to 2,466,375,285.09 and 5,755,074,427.83 is: 13,428,970,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,375,285.09 : 5,755,074,427.83 = 5,755,074,427.83 : x
  2. Step 2: Convert to fraction form
    2,466,375,285.09/5,755,074,427.83 = 5,755,074,427.83/x
  3. Step 3: Cross multiply
    2,466,375,285.09x = 5,755,074,427.83 × 5,755,074,427.83
  4. Step 4: Simplify right side
    2,466,375,285.09x = 33,120,881,669,842,087,936
  5. Step 5: Solve for x
    x = 33,120,881,669,842,087,936/2,466,375,285.09
  6. Step 6: Final answer
    x = 13,428,970,793.71

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.