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Finding the Third Proportional to 311,530,054 and 664,756,801.50

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Solution

The third proportional to 311,530,054 and 664,756,801.50 is: 1,418,487,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,530,054 : 664,756,801.50 = 664,756,801.50 : x
  2. Step 2: Convert to fraction form
    311,530,054/664,756,801.50 = 664,756,801.50/x
  3. Step 3: Cross multiply
    311,530,054x = 664,756,801.50 × 664,756,801.50
  4. Step 4: Simplify right side
    311,530,054x = 441,901,605,140,510,400
  5. Step 5: Solve for x
    x = 441,901,605,140,510,400/311,530,054
  6. Step 6: Final answer
    x = 1,418,487,877.71

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