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Finding the Third Proportional to 656,067,624 and 1,338,530,134.50

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Solution

The third proportional to 656,067,624 and 1,338,530,134.50 is: 2,730,911,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,067,624 : 1,338,530,134.50 = 1,338,530,134.50 : x
  2. Step 2: Convert to fraction form
    656,067,624/1,338,530,134.50 = 1,338,530,134.50/x
  3. Step 3: Cross multiply
    656,067,624x = 1,338,530,134.50 × 1,338,530,134.50
  4. Step 4: Simplify right side
    656,067,624x = 1,791,662,920,964,588,032
  5. Step 5: Solve for x
    x = 1,791,662,920,964,588,032/656,067,624
  6. Step 6: Final answer
    x = 2,730,911,960.02

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.