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Finding the Third Proportional to 14,391,942 and 31,175,368

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Solution

The third proportional to 14,391,942 and 31,175,368 is: 67,531,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391,942 : 31,175,368 = 31,175,368 : x
  2. Step 2: Convert to fraction form
    14,391,942/31,175,368 = 31,175,368/x
  3. Step 3: Cross multiply
    14,391,942x = 31,175,368 × 31,175,368
  4. Step 4: Simplify right side
    14,391,942x = 971,903,569,935,424
  5. Step 5: Solve for x
    x = 971,903,569,935,424/14,391,942
  6. Step 6: Final answer
    x = 67,531,092.74

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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.