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Finding the Third Proportional to 38,652,976 and 83,358,344

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Solution

The third proportional to 38,652,976 and 83,358,344 is: 179,769,172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,652,976 : 83,358,344 = 83,358,344 : x
  2. Step 2: Convert to fraction form
    38,652,976/83,358,344 = 83,358,344/x
  3. Step 3: Cross multiply
    38,652,976x = 83,358,344 × 83,358,344
  4. Step 4: Simplify right side
    38,652,976x = 6,948,613,514,422,336
  5. Step 5: Solve for x
    x = 6,948,613,514,422,336/38,652,976
  6. Step 6: Final answer
    x = 179,769,172.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.