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Finding the Third Proportional to 7,107,665 and 10,129,849

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Solution

The third proportional to 7,107,665 and 10,129,849 is: 14,437,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107,665 : 10,129,849 = 10,129,849 : x
  2. Step 2: Convert to fraction form
    7,107,665/10,129,849 = 10,129,849/x
  3. Step 3: Cross multiply
    7,107,665x = 10,129,849 × 10,129,849
  4. Step 4: Simplify right side
    7,107,665x = 102,613,840,762,801
  5. Step 5: Solve for x
    x = 102,613,840,762,801/7,107,665
  6. Step 6: Final answer
    x = 14,437,067.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.