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Finding the Third Proportional to 14,912,706,120 and 22,347,244,904

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Solution

The third proportional to 14,912,706,120 and 22,347,244,904 is: 33,488,177,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912,706,120 : 22,347,244,904 = 22,347,244,904 : x
  2. Step 2: Convert to fraction form
    14,912,706,120/22,347,244,904 = 22,347,244,904/x
  3. Step 3: Cross multiply
    14,912,706,120x = 22,347,244,904 × 22,347,244,904
  4. Step 4: Simplify right side
    14,912,706,120x = 499,399,354,799,353,954,304
  5. Step 5: Solve for x
    x = 499,399,354,799,353,954,304/14,912,706,120
  6. Step 6: Final answer
    x = 33,488,177,851.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.