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Finding the Third Proportional to 31,468,464 and 48,600,216

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Solution

The third proportional to 31,468,464 and 48,600,216 is: 75,058,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468,464 : 48,600,216 = 48,600,216 : x
  2. Step 2: Convert to fraction form
    31,468,464/48,600,216 = 48,600,216/x
  3. Step 3: Cross multiply
    31,468,464x = 48,600,216 × 48,600,216
  4. Step 4: Simplify right side
    31,468,464x = 2,361,980,995,246,656
  5. Step 5: Solve for x
    x = 2,361,980,995,246,656/31,468,464
  6. Step 6: Final answer
    x = 75,058,668.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.