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Finding the Third Proportional to 76,565,520 and 117,686,748

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Solution

The third proportional to 76,565,520 and 117,686,748 is: 180,893,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565,520 : 117,686,748 = 117,686,748 : x
  2. Step 2: Convert to fraction form
    76,565,520/117,686,748 = 117,686,748/x
  3. Step 3: Cross multiply
    76,565,520x = 117,686,748 × 117,686,748
  4. Step 4: Simplify right side
    76,565,520x = 13,850,170,654,815,504
  5. Step 5: Solve for x
    x = 13,850,170,654,815,504/76,565,520
  6. Step 6: Final answer
    x = 180,893,052.84

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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.