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Finding the Third Proportional to 311,526,396 and 664,749,648

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Solution

The third proportional to 311,526,396 and 664,749,648 is: 1,418,474,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,526,396 : 664,749,648 = 664,749,648 : x
  2. Step 2: Convert to fraction form
    311,526,396/664,749,648 = 664,749,648/x
  3. Step 3: Cross multiply
    311,526,396x = 664,749,648 × 664,749,648
  4. Step 4: Simplify right side
    311,526,396x = 441,892,094,516,123,904
  5. Step 5: Solve for x
    x = 441,892,094,516,123,904/311,526,396
  6. Step 6: Final answer
    x = 1,418,474,004.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.