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Finding the Third Proportional to 20,451,874 and 45,443,776

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Solution

The third proportional to 20,451,874 and 45,443,776 is: 100,975,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451,874 : 45,443,776 = 45,443,776 : x
  2. Step 2: Convert to fraction form
    20,451,874/45,443,776 = 45,443,776/x
  3. Step 3: Cross multiply
    20,451,874x = 45,443,776 × 45,443,776
  4. Step 4: Simplify right side
    20,451,874x = 2,065,136,777,138,176
  5. Step 5: Solve for x
    x = 2,065,136,777,138,176/20,451,874
  6. Step 6: Final answer
    x = 100,975,430.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.