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Finding the Third Proportional to 83,514,916 and 127,768,470

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Solution

The third proportional to 83,514,916 and 127,768,470 is: 195,471,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,514,916 : 127,768,470 = 127,768,470 : x
  2. Step 2: Convert to fraction form
    83,514,916/127,768,470 = 127,768,470/x
  3. Step 3: Cross multiply
    83,514,916x = 127,768,470 × 127,768,470
  4. Step 4: Simplify right side
    83,514,916x = 16,324,781,926,140,900
  5. Step 5: Solve for x
    x = 16,324,781,926,140,900/83,514,916
  6. Step 6: Final answer
    x = 195,471,452.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.