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Finding the Third Proportional to 361,733,270 and 784,715,122

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Solution

The third proportional to 361,733,270 and 784,715,122 is: 1,702,298,001.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,733,270 : 784,715,122 = 784,715,122 : x
  2. Step 2: Convert to fraction form
    361,733,270/784,715,122 = 784,715,122/x
  3. Step 3: Cross multiply
    361,733,270x = 784,715,122 × 784,715,122
  4. Step 4: Simplify right side
    361,733,270x = 615,777,822,695,474,944
  5. Step 5: Solve for x
    x = 615,777,822,695,474,944/361,733,270
  6. Step 6: Final answer
    x = 1,702,298,001.77

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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.