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Finding the Third Proportional to 76,015,786 and 165,965,292

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Solution

The third proportional to 76,015,786 and 165,965,292 is: 362,352,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,015,786 : 165,965,292 = 165,965,292 : x
  2. Step 2: Convert to fraction form
    76,015,786/165,965,292 = 165,965,292/x
  3. Step 3: Cross multiply
    76,015,786x = 165,965,292 × 165,965,292
  4. Step 4: Simplify right side
    76,015,786x = 27,544,478,148,645,264
  5. Step 5: Solve for x
    x = 27,544,478,148,645,264/76,015,786
  6. Step 6: Final answer
    x = 362,352,079.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.