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Finding the Third Proportional to 24,175,205,233 and 52,023,730,657

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Solution

The third proportional to 24,175,205,233 and 52,023,730,657 is: 111,952,247,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175,205,233 : 52,023,730,657 = 52,023,730,657 : x
  2. Step 2: Convert to fraction form
    24,175,205,233/52,023,730,657 = 52,023,730,657/x
  3. Step 3: Cross multiply
    24,175,205,233x = 52,023,730,657 × 52,023,730,657
  4. Step 4: Simplify right side
    24,175,205,233x = 2,706,468,551,472,081,534,976
  5. Step 5: Solve for x
    x = 2,706,468,551,472,081,534,976/24,175,205,233
  6. Step 6: Final answer
    x = 111,952,247,163.46

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