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Finding the Third Proportional to 4,398,584,338,662 and 9,469,409,288,448

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Solution

The third proportional to 4,398,584,338,662 and 9,469,409,288,448 is: 20,386,039,090,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398,584,338,662 : 9,469,409,288,448 = 9,469,409,288,448 : x
  2. Step 2: Convert to fraction form
    4,398,584,338,662/9,469,409,288,448 = 9,469,409,288,448/x
  3. Step 3: Cross multiply
    4,398,584,338,662x = 9,469,409,288,448 × 9,469,409,288,448
  4. Step 4: Simplify right side
    4,398,584,338,662x = 89,669,712,272,145,254,147,162,112
  5. Step 5: Solve for x
    x = 89,669,712,272,145,254,147,162,112/4,398,584,338,662
  6. Step 6: Final answer
    x = 20,386,039,090,800.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.