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Finding the Third Proportional to 10,034,086 and 15,145,170

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Solution

The third proportional to 10,034,086 and 15,145,170 is: 22,859,697.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034,086 : 15,145,170 = 15,145,170 : x
  2. Step 2: Convert to fraction form
    10,034,086/15,145,170 = 15,145,170/x
  3. Step 3: Cross multiply
    10,034,086x = 15,145,170 × 15,145,170
  4. Step 4: Simplify right side
    10,034,086x = 229,376,174,328,900
  5. Step 5: Solve for x
    x = 229,376,174,328,900/10,034,086
  6. Step 6: Final answer
    x = 22,859,697.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.