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Finding the Third Proportional to 4,498,469,070,718 and 6,852,952,837,464

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Solution

The third proportional to 4,498,469,070,718 and 6,852,952,837,464 is: 10,439,765,585,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498,469,070,718 : 6,852,952,837,464 = 6,852,952,837,464 : x
  2. Step 2: Convert to fraction form
    4,498,469,070,718/6,852,952,837,464 = 6,852,952,837,464/x
  3. Step 3: Cross multiply
    4,498,469,070,718x = 6,852,952,837,464 × 6,852,952,837,464
  4. Step 4: Simplify right side
    4,498,469,070,718x = 46,962,962,592,505,888,828,817,408
  5. Step 5: Solve for x
    x = 46,962,962,592,505,888,828,817,408/4,498,469,070,718
  6. Step 6: Final answer
    x = 10,439,765,585,630.70

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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.