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Finding the Third Proportional to 839,744,914 and 1,832,307,684

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Solution

The third proportional to 839,744,914 and 1,832,307,684 is: 3,998,061,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,744,914 : 1,832,307,684 = 1,832,307,684 : x
  2. Step 2: Convert to fraction form
    839,744,914/1,832,307,684 = 1,832,307,684/x
  3. Step 3: Cross multiply
    839,744,914x = 1,832,307,684 × 1,832,307,684
  4. Step 4: Simplify right side
    839,744,914x = 3,357,351,448,845,444,096
  5. Step 5: Solve for x
    x = 3,357,351,448,845,444,096/839,744,914
  6. Step 6: Final answer
    x = 3,998,061,069.35

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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.