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Finding the Third Proportional to 7,696,415 and 16,732,471

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Solution

The third proportional to 7,696,415 and 16,732,471 is: 36,377,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696,415 : 16,732,471 = 16,732,471 : x
  2. Step 2: Convert to fraction form
    7,696,415/16,732,471 = 16,732,471/x
  3. Step 3: Cross multiply
    7,696,415x = 16,732,471 × 16,732,471
  4. Step 4: Simplify right side
    7,696,415x = 279,975,585,765,841
  5. Step 5: Solve for x
    x = 279,975,585,765,841/7,696,415
  6. Step 6: Final answer
    x = 36,377,402.44

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Why These Related Problems?

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