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Finding the Third Proportional to 16,049,916 and 34,717,680

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Solution

The third proportional to 16,049,916 and 34,717,680 is: 75,098,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049,916 : 34,717,680 = 34,717,680 : x
  2. Step 2: Convert to fraction form
    16,049,916/34,717,680 = 34,717,680/x
  3. Step 3: Cross multiply
    16,049,916x = 34,717,680 × 34,717,680
  4. Step 4: Simplify right side
    16,049,916x = 1,205,317,304,582,400
  5. Step 5: Solve for x
    x = 1,205,317,304,582,400/16,049,916
  6. Step 6: Final answer
    x = 75,098,044.41

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Why These Related Problems?

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