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Finding the Third Proportional to 2,839,005,274 and 6,177,924,188

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Solution

The third proportional to 2,839,005,274 and 6,177,924,188 is: 13,443,704,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839,005,274 : 6,177,924,188 = 6,177,924,188 : x
  2. Step 2: Convert to fraction form
    2,839,005,274/6,177,924,188 = 6,177,924,188/x
  3. Step 3: Cross multiply
    2,839,005,274x = 6,177,924,188 × 6,177,924,188
  4. Step 4: Simplify right side
    2,839,005,274x = 38,166,747,272,675,459,072
  5. Step 5: Solve for x
    x = 38,166,747,272,675,459,072/2,839,005,274
  6. Step 6: Final answer
    x = 13,443,704,251.70

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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.