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Finding the Third Proportional to 132,627,464 and 285,410,321

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Solution

The third proportional to 132,627,464 and 285,410,321 is: 614,194,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,627,464 : 285,410,321 = 285,410,321 : x
  2. Step 2: Convert to fraction form
    132,627,464/285,410,321 = 285,410,321/x
  3. Step 3: Cross multiply
    132,627,464x = 285,410,321 × 285,410,321
  4. Step 4: Simplify right side
    132,627,464x = 81,459,051,333,323,040
  5. Step 5: Solve for x
    x = 81,459,051,333,323,040/132,627,464
  6. Step 6: Final answer
    x = 614,194,442.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.