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Finding the Third Proportional to 34,853,332 and 75,751,514

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Solution

The third proportional to 34,853,332 and 75,751,514 is: 164,641,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,853,332 : 75,751,514 = 75,751,514 : x
  2. Step 2: Convert to fraction form
    34,853,332/75,751,514 = 75,751,514/x
  3. Step 3: Cross multiply
    34,853,332x = 75,751,514 × 75,751,514
  4. Step 4: Simplify right side
    34,853,332x = 5,738,291,873,292,196
  5. Step 5: Solve for x
    x = 5,738,291,873,292,196/34,853,332
  6. Step 6: Final answer
    x = 164,641,127.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.