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Finding the Third Proportional to 14,391,948 and 31,175,380

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Solution

The third proportional to 14,391,948 and 31,175,380 is: 67,531,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,391,948 : 31,175,380 = 31,175,380 : x
  2. Step 2: Convert to fraction form
    14,391,948/31,175,380 = 31,175,380/x
  3. Step 3: Cross multiply
    14,391,948x = 31,175,380 × 31,175,380
  4. Step 4: Simplify right side
    14,391,948x = 971,904,318,144,400
  5. Step 5: Solve for x
    x = 971,904,318,144,400/14,391,948
  6. Step 6: Final answer
    x = 67,531,116.58

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