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Finding the Third Proportional to 20,138,825 and 29,830,638

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Solution

The third proportional to 20,138,825 and 29,830,638 is: 44,186,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138,825 : 29,830,638 = 29,830,638 : x
  2. Step 2: Convert to fraction form
    20,138,825/29,830,638 = 29,830,638/x
  3. Step 3: Cross multiply
    20,138,825x = 29,830,638 × 29,830,638
  4. Step 4: Simplify right side
    20,138,825x = 889,866,963,487,044
  5. Step 5: Solve for x
    x = 889,866,963,487,044/20,138,825
  6. Step 6: Final answer
    x = 44,186,637.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.