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Finding the Third Proportional to 118,245,882,352 and 244,873,418,720

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Solution

The third proportional to 118,245,882,352 and 244,873,418,720 is: 507,104,264,460.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,245,882,352 : 244,873,418,720 = 244,873,418,720 : x
  2. Step 2: Convert to fraction form
    118,245,882,352/244,873,418,720 = 244,873,418,720/x
  3. Step 3: Cross multiply
    118,245,882,352x = 244,873,418,720 × 244,873,418,720
  4. Step 4: Simplify right side
    118,245,882,352x = 59,962,991,195,620,449,976,320
  5. Step 5: Solve for x
    x = 59,962,991,195,620,449,976,320/118,245,882,352
  6. Step 6: Final answer
    x = 507,104,264,460.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.