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Finding the Third Proportional to 56,023,920 and 121,863,744

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Solution

The third proportional to 56,023,920 and 121,863,744 is: 265,079,132.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,023,920 : 121,863,744 = 121,863,744 : x
  2. Step 2: Convert to fraction form
    56,023,920/121,863,744 = 121,863,744/x
  3. Step 3: Cross multiply
    56,023,920x = 121,863,744 × 121,863,744
  4. Step 4: Simplify right side
    56,023,920x = 14,850,772,101,697,536
  5. Step 5: Solve for x
    x = 14,850,772,101,697,536/56,023,920
  6. Step 6: Final answer
    x = 265,079,132.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.