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Finding the Third Proportional to 839,744,896 and 1,832,307,648

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Solution

The third proportional to 839,744,896 and 1,832,307,648 is: 3,998,060,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,744,896 : 1,832,307,648 = 1,832,307,648 : x
  2. Step 2: Convert to fraction form
    839,744,896/1,832,307,648 = 1,832,307,648/x
  3. Step 3: Cross multiply
    839,744,896x = 1,832,307,648 × 1,832,307,648
  4. Step 4: Simplify right side
    839,744,896x = 3,357,351,316,919,291,904
  5. Step 5: Solve for x
    x = 3,357,351,316,919,291,904/839,744,896
  6. Step 6: Final answer
    x = 3,998,060,997.94

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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.