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Finding the Third Proportional to 76,565,838 and 117,687,180

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Solution

The third proportional to 76,565,838 and 117,687,180 is: 180,893,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565,838 : 117,687,180 = 117,687,180 : x
  2. Step 2: Convert to fraction form
    76,565,838/117,687,180 = 117,687,180/x
  3. Step 3: Cross multiply
    76,565,838x = 117,687,180 × 117,687,180
  4. Step 4: Simplify right side
    76,565,838x = 13,850,272,336,352,400
  5. Step 5: Solve for x
    x = 13,850,272,336,352,400/76,565,838
  6. Step 6: Final answer
    x = 180,893,629.56

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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.