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Finding the Third Proportional to 215,840,673 and 474,718,401

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Solution

The third proportional to 215,840,673 and 474,718,401 is: 1,044,092,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,840,673 : 474,718,401 = 474,718,401 : x
  2. Step 2: Convert to fraction form
    215,840,673/474,718,401 = 474,718,401/x
  3. Step 3: Cross multiply
    215,840,673x = 474,718,401 × 474,718,401
  4. Step 4: Simplify right side
    215,840,673x = 225,357,560,247,996,800
  5. Step 5: Solve for x
    x = 225,357,560,247,996,800/215,840,673
  6. Step 6: Final answer
    x = 1,044,092,186.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.