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Finding the Third Proportional to 27,942,109,786 and 60,941,447,374

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Solution

The third proportional to 27,942,109,786 and 60,941,447,374 is: 132,912,655,360.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942,109,786 : 60,941,447,374 = 60,941,447,374 : x
  2. Step 2: Convert to fraction form
    27,942,109,786/60,941,447,374 = 60,941,447,374/x
  3. Step 3: Cross multiply
    27,942,109,786x = 60,941,447,374 × 60,941,447,374
  4. Step 4: Simplify right side
    27,942,109,786x = 3,713,860,008,038,011,240,448
  5. Step 5: Solve for x
    x = 3,713,860,008,038,011,240,448/27,942,109,786
  6. Step 6: Final answer
    x = 132,912,655,360.72

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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.