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Finding the Third Proportional to 2,065,732,923 and 4,482,187,297.50

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Solution

The third proportional to 2,065,732,923 and 4,482,187,297.50 is: 9,725,363,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,732,923 : 4,482,187,297.50 = 4,482,187,297.50 : x
  2. Step 2: Convert to fraction form
    2,065,732,923/4,482,187,297.50 = 4,482,187,297.50/x
  3. Step 3: Cross multiply
    2,065,732,923x = 4,482,187,297.50 × 4,482,187,297.50
  4. Step 4: Simplify right side
    2,065,732,923x = 20,090,002,969,870,352,384
  5. Step 5: Solve for x
    x = 20,090,002,969,870,352,384/2,065,732,923
  6. Step 6: Final answer
    x = 9,725,363,209.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.