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Finding the Third Proportional to 839,744,904 and 1,832,307,664

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Solution

The third proportional to 839,744,904 and 1,832,307,664 is: 3,998,061,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,744,904 : 1,832,307,664 = 1,832,307,664 : x
  2. Step 2: Convert to fraction form
    839,744,904/1,832,307,664 = 1,832,307,664/x
  3. Step 3: Cross multiply
    839,744,904x = 1,832,307,664 × 1,832,307,664
  4. Step 4: Simplify right side
    839,744,904x = 3,357,351,375,553,136,640
  5. Step 5: Solve for x
    x = 3,357,351,375,553,136,640/839,744,904
  6. Step 6: Final answer
    x = 3,998,061,029.68

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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.