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Finding the Third Proportional to 24,175,205,227.50 and 52,023,730,645.50

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Solution

The third proportional to 24,175,205,227.50 and 52,023,730,645.50 is: 111,952,247,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175,205,227.50 : 52,023,730,645.50 = 52,023,730,645.50 : x
  2. Step 2: Convert to fraction form
    24,175,205,227.50/52,023,730,645.50 = 52,023,730,645.50/x
  3. Step 3: Cross multiply
    24,175,205,227.50x = 52,023,730,645.50 × 52,023,730,645.50
  4. Step 4: Simplify right side
    24,175,205,227.50x = 2,706,468,550,275,535,732,736
  5. Step 5: Solve for x
    x = 2,706,468,550,275,535,732,736/24,175,205,227.50
  6. Step 6: Final answer
    x = 111,952,247,139.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.