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Finding the Third Proportional to 311,530,101 and 664,756,895

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Solution

The third proportional to 311,530,101 and 664,756,895 is: 1,418,488,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,530,101 : 664,756,895 = 664,756,895 : x
  2. Step 2: Convert to fraction form
    311,530,101/664,756,895 = 664,756,895/x
  3. Step 3: Cross multiply
    311,530,101x = 664,756,895 × 664,756,895
  4. Step 4: Simplify right side
    311,530,101x = 441,901,729,450,041,024
  5. Step 5: Solve for x
    x = 441,901,729,450,041,024/311,530,101
  6. Step 6: Final answer
    x = 1,418,488,062.73

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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.