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Finding the Third Proportional to 311,020,654.50 and 668,197,624.50

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Solution

The third proportional to 311,020,654.50 and 668,197,624.50 is: 1,435,557,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,020,654.50 : 668,197,624.50 = 668,197,624.50 : x
  2. Step 2: Convert to fraction form
    311,020,654.50/668,197,624.50 = 668,197,624.50/x
  3. Step 3: Cross multiply
    311,020,654.50x = 668,197,624.50 × 668,197,624.50
  4. Step 4: Simplify right side
    311,020,654.50x = 446,488,065,387,443,008
  5. Step 5: Solve for x
    x = 446,488,065,387,443,008/311,020,654.50
  6. Step 6: Final answer
    x = 1,435,557,603.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.