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Finding the Third Proportional to 1,693,806,930 and 3,669,011,864

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Solution

The third proportional to 1,693,806,930 and 3,669,011,864 is: 7,947,569,359.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,806,930 : 3,669,011,864 = 3,669,011,864 : x
  2. Step 2: Convert to fraction form
    1,693,806,930/3,669,011,864 = 3,669,011,864/x
  3. Step 3: Cross multiply
    1,693,806,930x = 3,669,011,864 × 3,669,011,864
  4. Step 4: Simplify right side
    1,693,806,930x = 13,461,648,058,172,753,920
  5. Step 5: Solve for x
    x = 13,461,648,058,172,753,920/1,693,806,930
  6. Step 6: Final answer
    x = 7,947,569,359.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.