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Finding the Third Proportional to 5,466,645,390 and 8,164,145,637

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Solution

The third proportional to 5,466,645,390 and 8,164,145,637 is: 12,192,719,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466,645,390 : 8,164,145,637 = 8,164,145,637 : x
  2. Step 2: Convert to fraction form
    5,466,645,390/8,164,145,637 = 8,164,145,637/x
  3. Step 3: Cross multiply
    5,466,645,390x = 8,164,145,637 × 8,164,145,637
  4. Step 4: Simplify right side
    5,466,645,390x = 66,653,273,982,146,134,016
  5. Step 5: Solve for x
    x = 66,653,273,982,146,134,016/5,466,645,390
  6. Step 6: Final answer
    x = 12,192,719,524.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.