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Finding the Third Proportional to 32,899,011 and 71,283,900

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Solution

The third proportional to 32,899,011 and 71,283,900 is: 154,454,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,899,011 : 71,283,900 = 71,283,900 : x
  2. Step 2: Convert to fraction form
    32,899,011/71,283,900 = 71,283,900/x
  3. Step 3: Cross multiply
    32,899,011x = 71,283,900 × 71,283,900
  4. Step 4: Simplify right side
    32,899,011x = 5,081,394,399,210,000
  5. Step 5: Solve for x
    x = 5,081,394,399,210,000/32,899,011
  6. Step 6: Final answer
    x = 154,454,320.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.