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Finding the Third Proportional to 14,375,098 and 31,175,641

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Solution

The third proportional to 14,375,098 and 31,175,641 is: 67,611,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,375,098 : 31,175,641 = 31,175,641 : x
  2. Step 2: Convert to fraction form
    14,375,098/31,175,641 = 31,175,641/x
  3. Step 3: Cross multiply
    14,375,098x = 31,175,641 × 31,175,641
  4. Step 4: Simplify right side
    14,375,098x = 971,920,591,760,881
  5. Step 5: Solve for x
    x = 971,920,591,760,881/14,375,098
  6. Step 6: Final answer
    x = 67,611,406.32

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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.