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Finding the Third Proportional to 34,853,334 and 75,751,518

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Solution

The third proportional to 34,853,334 and 75,751,518 is: 164,641,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,853,334 : 75,751,518 = 75,751,518 : x
  2. Step 2: Convert to fraction form
    34,853,334/75,751,518 = 75,751,518/x
  3. Step 3: Cross multiply
    34,853,334x = 75,751,518 × 75,751,518
  4. Step 4: Simplify right side
    34,853,334x = 5,738,292,479,304,324
  5. Step 5: Solve for x
    x = 5,738,292,479,304,324/34,853,334
  6. Step 6: Final answer
    x = 164,641,135.32

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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.