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Finding the Third Proportional to 32,716,469 and 68,817,433

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Solution

The third proportional to 32,716,469 and 68,817,433 is: 144,753,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,716,469 : 68,817,433 = 68,817,433 : x
  2. Step 2: Convert to fraction form
    32,716,469/68,817,433 = 68,817,433/x
  3. Step 3: Cross multiply
    32,716,469x = 68,817,433 × 68,817,433
  4. Step 4: Simplify right side
    32,716,469x = 4,735,839,084,709,489
  5. Step 5: Solve for x
    x = 4,735,839,084,709,489/32,716,469
  6. Step 6: Final answer
    x = 144,753,979.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.