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Finding the Third Proportional to 10,166,676 and 15,488,532

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Solution

The third proportional to 10,166,676 and 15,488,532 is: 23,596,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166,676 : 15,488,532 = 15,488,532 : x
  2. Step 2: Convert to fraction form
    10,166,676/15,488,532 = 15,488,532/x
  3. Step 3: Cross multiply
    10,166,676x = 15,488,532 × 15,488,532
  4. Step 4: Simplify right side
    10,166,676x = 239,894,623,515,024
  5. Step 5: Solve for x
    x = 239,894,623,515,024/10,166,676
  6. Step 6: Final answer
    x = 23,596,170.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.