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Finding the Third Proportional to 3,747,785,572,395 and 8,160,913,534,455

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Solution

The third proportional to 3,747,785,572,395 and 8,160,913,534,455 is: 17,770,629,730,635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747,785,572,395 : 8,160,913,534,455 = 8,160,913,534,455 : x
  2. Step 2: Convert to fraction form
    3,747,785,572,395/8,160,913,534,455 = 8,160,913,534,455/x
  3. Step 3: Cross multiply
    3,747,785,572,395x = 8,160,913,534,455 × 8,160,913,534,455
  4. Step 4: Simplify right side
    3,747,785,572,395x = 66,600,509,716,850,798,829,240,320
  5. Step 5: Solve for x
    x = 66,600,509,716,850,798,829,240,320/3,747,785,572,395
  6. Step 6: Final answer
    x = 17,770,629,730,635.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.