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Finding the Third Proportional to 2,326,948,162 and 3,704,424,723

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Solution

The third proportional to 2,326,948,162 and 3,704,424,723 is: 5,897,321,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326,948,162 : 3,704,424,723 = 3,704,424,723 : x
  2. Step 2: Convert to fraction form
    2,326,948,162/3,704,424,723 = 3,704,424,723/x
  3. Step 3: Cross multiply
    2,326,948,162x = 3,704,424,723 × 3,704,424,723
  4. Step 4: Simplify right side
    2,326,948,162x = 13,722,762,528,373,626,880
  5. Step 5: Solve for x
    x = 13,722,762,528,373,626,880/2,326,948,162
  6. Step 6: Final answer
    x = 5,897,321,974.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.