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Finding the Third Proportional to 169,796,974,496 and 363,446,386,624

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Solution

The third proportional to 169,796,974,496 and 363,446,386,624 is: 777,948,348,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,796,974,496 : 363,446,386,624 = 363,446,386,624 : x
  2. Step 2: Convert to fraction form
    169,796,974,496/363,446,386,624 = 363,446,386,624/x
  3. Step 3: Cross multiply
    169,796,974,496x = 363,446,386,624 × 363,446,386,624
  4. Step 4: Simplify right side
    169,796,974,496x = 132,093,275,950,042,084,016,128
  5. Step 5: Solve for x
    x = 132,093,275,950,042,084,016,128/169,796,974,496
  6. Step 6: Final answer
    x = 777,948,348,856.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.