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Finding the Third Proportional to 29,489,944 and 64,648,591

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Solution

The third proportional to 29,489,944 and 64,648,591 is: 141,724,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,489,944 : 64,648,591 = 64,648,591 : x
  2. Step 2: Convert to fraction form
    29,489,944/64,648,591 = 64,648,591/x
  3. Step 3: Cross multiply
    29,489,944x = 64,648,591 × 64,648,591
  4. Step 4: Simplify right side
    29,489,944x = 4,179,440,318,285,281
  5. Step 5: Solve for x
    x = 4,179,440,318,285,281/29,489,944
  6. Step 6: Final answer
    x = 141,724,254.15

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