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Finding the Third Proportional to 12,777,692 and 27,711,274

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Solution

The third proportional to 12,777,692 and 27,711,274 is: 60,098,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777,692 : 27,711,274 = 27,711,274 : x
  2. Step 2: Convert to fraction form
    12,777,692/27,711,274 = 27,711,274/x
  3. Step 3: Cross multiply
    12,777,692x = 27,711,274 × 27,711,274
  4. Step 4: Simplify right side
    12,777,692x = 767,914,706,703,076
  5. Step 5: Solve for x
    x = 767,914,706,703,076/12,777,692
  6. Step 6: Final answer
    x = 60,098,076.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.