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Finding the Third Proportional to 22,692,642.75 and 34,062,184.13

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Solution

The third proportional to 22,692,642.75 and 34,062,184.13 is: 51,128,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692,642.75 : 34,062,184.13 = 34,062,184.13 : x
  2. Step 2: Convert to fraction form
    22,692,642.75/34,062,184.13 = 34,062,184.13/x
  3. Step 3: Cross multiply
    22,692,642.75x = 34,062,184.13 × 34,062,184.13
  4. Step 4: Simplify right side
    22,692,642.75x = 1,160,232,387,365,402
  5. Step 5: Solve for x
    x = 1,160,232,387,365,402/22,692,642.75
  6. Step 6: Final answer
    x = 51,128,129.95

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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.