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Finding the Third Proportional to 4,498,469,070,754 and 6,852,952,837,519

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Solution

The third proportional to 4,498,469,070,754 and 6,852,952,837,519 is: 10,439,765,585,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498,469,070,754 : 6,852,952,837,519 = 6,852,952,837,519 : x
  2. Step 2: Convert to fraction form
    4,498,469,070,754/6,852,952,837,519 = 6,852,952,837,519/x
  3. Step 3: Cross multiply
    4,498,469,070,754x = 6,852,952,837,519 × 6,852,952,837,519
  4. Step 4: Simplify right side
    4,498,469,070,754x = 46,962,962,593,259,715,718,807,552
  5. Step 5: Solve for x
    x = 46,962,962,593,259,715,718,807,552/4,498,469,070,754
  6. Step 6: Final answer
    x = 10,439,765,585,714.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.