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Finding the Third Proportional to 8,177,193,487,662 and 17,660,005,856,172

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Solution

The third proportional to 8,177,193,487,662 and 17,660,005,856,172 is: 38,139,712,275,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177,193,487,662 : 17,660,005,856,172 = 17,660,005,856,172 : x
  2. Step 2: Convert to fraction form
    8,177,193,487,662/17,660,005,856,172 = 17,660,005,856,172/x
  3. Step 3: Cross multiply
    8,177,193,487,662x = 17,660,005,856,172 × 17,660,005,856,172
  4. Step 4: Simplify right side
    8,177,193,487,662x = 311,875,806,840,029,359,523,233,792
  5. Step 5: Solve for x
    x = 311,875,806,840,029,359,523,233,792/8,177,193,487,662
  6. Step 6: Final answer
    x = 38,139,712,275,439.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.