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Finding the Third Proportional to 2,839,005,186 and 6,177,924,012

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Solution

The third proportional to 2,839,005,186 and 6,177,924,012 is: 13,443,703,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,005,186 : 6,177,924,012 = 6,177,924,012 : x
  2. Step 2: Convert to fraction form
    2,839,005,186/6,177,924,012 = 6,177,924,012/x
  3. Step 3: Cross multiply
    2,839,005,186x = 6,177,924,012 × 6,177,924,012
  4. Step 4: Simplify right side
    2,839,005,186x = 38,166,745,098,046,177,280
  5. Step 5: Solve for x
    x = 38,166,745,098,046,177,280/2,839,005,186
  6. Step 6: Final answer
    x = 13,443,703,902.43

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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.