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Finding the Third Proportional to 14,108,761 and 20,618,743

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Solution

The third proportional to 14,108,761 and 20,618,743 is: 30,132,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108,761 : 20,618,743 = 20,618,743 : x
  2. Step 2: Convert to fraction form
    14,108,761/20,618,743 = 20,618,743/x
  3. Step 3: Cross multiply
    14,108,761x = 20,618,743 × 20,618,743
  4. Step 4: Simplify right side
    14,108,761x = 425,132,562,900,049
  5. Step 5: Solve for x
    x = 425,132,562,900,049/14,108,761
  6. Step 6: Final answer
    x = 30,132,522.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.