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Finding the Third Proportional to 16,175,376 and 34,625,214

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Solution

The third proportional to 16,175,376 and 34,625,214 is: 74,119,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175,376 : 34,625,214 = 34,625,214 : x
  2. Step 2: Convert to fraction form
    16,175,376/34,625,214 = 34,625,214/x
  3. Step 3: Cross multiply
    16,175,376x = 34,625,214 × 34,625,214
  4. Step 4: Simplify right side
    16,175,376x = 1,198,905,444,545,796
  5. Step 5: Solve for x
    x = 1,198,905,444,545,796/16,175,376
  6. Step 6: Final answer
    x = 74,119,170.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.