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Finding the Third Proportional to 48,488,022 and 75,281,880

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Solution

The third proportional to 48,488,022 and 75,281,880 is: 116,881,679.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,488,022 : 75,281,880 = 75,281,880 : x
  2. Step 2: Convert to fraction form
    48,488,022/75,281,880 = 75,281,880/x
  3. Step 3: Cross multiply
    48,488,022x = 75,281,880 × 75,281,880
  4. Step 4: Simplify right side
    48,488,022x = 5,667,361,456,334,400
  5. Step 5: Solve for x
    x = 5,667,361,456,334,400/48,488,022
  6. Step 6: Final answer
    x = 116,881,679.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.