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Finding the Third Proportional to 411,772,682 and 627,307,217

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Solution

The third proportional to 411,772,682 and 627,307,217 is: 955,659,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,772,682 : 627,307,217 = 627,307,217 : x
  2. Step 2: Convert to fraction form
    411,772,682/627,307,217 = 627,307,217/x
  3. Step 3: Cross multiply
    411,772,682x = 627,307,217 × 627,307,217
  4. Step 4: Simplify right side
    411,772,682x = 393,514,344,500,285,120
  5. Step 5: Solve for x
    x = 393,514,344,500,285,120/411,772,682
  6. Step 6: Final answer
    x = 955,659,182.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.