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Finding the Third Proportional to 27,942,109,796 and 60,941,447,392

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Solution

The third proportional to 27,942,109,796 and 60,941,447,392 is: 132,912,655,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942,109,796 : 60,941,447,392 = 60,941,447,392 : x
  2. Step 2: Convert to fraction form
    27,942,109,796/60,941,447,392 = 60,941,447,392/x
  3. Step 3: Cross multiply
    27,942,109,796x = 60,941,447,392 × 60,941,447,392
  4. Step 4: Simplify right side
    27,942,109,796x = 3,713,860,010,231,903,813,632
  5. Step 5: Solve for x
    x = 3,713,860,010,231,903,813,632/27,942,109,796
  6. Step 6: Final answer
    x = 132,912,655,391.67

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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.