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Finding the Third Proportional to 894,789,976,358.40 and 1,962,815,901,250.80

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Solution

The third proportional to 894,789,976,358.40 and 1,962,815,901,250.80 is: 4,305,643,071,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,789,976,358.40 : 1,962,815,901,250.80 = 1,962,815,901,250.80 : x
  2. Step 2: Convert to fraction form
    894,789,976,358.40/1,962,815,901,250.80 = 1,962,815,901,250.80/x
  3. Step 3: Cross multiply
    894,789,976,358.40x = 1,962,815,901,250.80 × 1,962,815,901,250.80
  4. Step 4: Simplify right side
    894,789,976,358.40x = 3,852,646,262,202,990,472,462,336
  5. Step 5: Solve for x
    x = 3,852,646,262,202,990,472,462,336/894,789,976,358.40
  6. Step 6: Final answer
    x = 4,305,643,071,553.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.