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Finding the Third Proportional to 10,135,934 and 15,707,733

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Solution

The third proportional to 10,135,934 and 15,707,733 is: 24,342,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135,934 : 15,707,733 = 15,707,733 : x
  2. Step 2: Convert to fraction form
    10,135,934/15,707,733 = 15,707,733/x
  3. Step 3: Cross multiply
    10,135,934x = 15,707,733 × 15,707,733
  4. Step 4: Simplify right side
    10,135,934x = 246,732,875,999,289
  5. Step 5: Solve for x
    x = 246,732,875,999,289/10,135,934
  6. Step 6: Final answer
    x = 24,342,391.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.