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Finding the Third Proportional to 8,177,193,487,660 and 17,660,005,856,168

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Solution

The third proportional to 8,177,193,487,660 and 17,660,005,856,168 is: 38,139,712,275,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177,193,487,660 : 17,660,005,856,168 = 17,660,005,856,168 : x
  2. Step 2: Convert to fraction form
    8,177,193,487,660/17,660,005,856,168 = 17,660,005,856,168/x
  3. Step 3: Cross multiply
    8,177,193,487,660x = 17,660,005,856,168 × 17,660,005,856,168
  4. Step 4: Simplify right side
    8,177,193,487,660x = 311,875,806,839,888,072,279,064,576
  5. Step 5: Solve for x
    x = 311,875,806,839,888,072,279,064,576/8,177,193,487,660
  6. Step 6: Final answer
    x = 38,139,712,275,431.92

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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.