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Finding the Third Proportional to 76,566,032 and 117,687,504

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Solution

The third proportional to 76,566,032 and 117,687,504 is: 180,894,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,032 : 117,687,504 = 117,687,504 : x
  2. Step 2: Convert to fraction form
    76,566,032/117,687,504 = 117,687,504/x
  3. Step 3: Cross multiply
    76,566,032x = 117,687,504 × 117,687,504
  4. Step 4: Simplify right side
    76,566,032x = 13,850,348,597,750,016
  5. Step 5: Solve for x
    x = 13,850,348,597,750,016/76,566,032
  6. Step 6: Final answer
    x = 180,894,167.24

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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.