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Finding the Third Proportional to 839,744,906 and 1,832,307,668

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Solution

The third proportional to 839,744,906 and 1,832,307,668 is: 3,998,061,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,744,906 : 1,832,307,668 = 1,832,307,668 : x
  2. Step 2: Convert to fraction form
    839,744,906/1,832,307,668 = 1,832,307,668/x
  3. Step 3: Cross multiply
    839,744,906x = 1,832,307,668 × 1,832,307,668
  4. Step 4: Simplify right side
    839,744,906x = 3,357,351,390,211,598,336
  5. Step 5: Solve for x
    x = 3,357,351,390,211,598,336/839,744,906
  6. Step 6: Final answer
    x = 3,998,061,037.61

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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.