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Finding the Third Proportional to 269,668,894,104.97 and 586,810,376,694.30

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Solution

The third proportional to 269,668,894,104.97 and 586,810,376,694.30 is: 1,276,923,018,277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,668,894,104.97 : 586,810,376,694.30 = 586,810,376,694.30 : x
  2. Step 2: Convert to fraction form
    269,668,894,104.97/586,810,376,694.30 = 586,810,376,694.30/x
  3. Step 3: Cross multiply
    269,668,894,104.97x = 586,810,376,694.30 × 586,810,376,694.30
  4. Step 4: Simplify right side
    269,668,894,104.97x = 344,346,418,196,106,323,165,184
  5. Step 5: Solve for x
    x = 344,346,418,196,106,323,165,184/269,668,894,104.97
  6. Step 6: Final answer
    x = 1,276,923,018,277.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.