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Finding the Third Proportional to 3,156,142 and 6,902,748

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Solution

The third proportional to 3,156,142 and 6,902,748 is: 15,096,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156,142 : 6,902,748 = 6,902,748 : x
  2. Step 2: Convert to fraction form
    3,156,142/6,902,748 = 6,902,748/x
  3. Step 3: Cross multiply
    3,156,142x = 6,902,748 × 6,902,748
  4. Step 4: Simplify right side
    3,156,142x = 47,647,929,951,504
  5. Step 5: Solve for x
    x = 47,647,929,951,504/3,156,142
  6. Step 6: Final answer
    x = 15,096,890.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.