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Finding the Third Proportional to 3,189,938,723,418 and 6,863,690,560,074

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Solution

The third proportional to 3,189,938,723,418 and 6,863,690,560,074 is: 14,768,386,539,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189,938,723,418 : 6,863,690,560,074 = 6,863,690,560,074 : x
  2. Step 2: Convert to fraction form
    3,189,938,723,418/6,863,690,560,074 = 6,863,690,560,074/x
  3. Step 3: Cross multiply
    3,189,938,723,418x = 6,863,690,560,074 × 6,863,690,560,074
  4. Step 4: Simplify right side
    3,189,938,723,418x = 47,110,248,104,448,938,683,138,048
  5. Step 5: Solve for x
    x = 47,110,248,104,448,938,683,138,048/3,189,938,723,418
  6. Step 6: Final answer
    x = 14,768,386,539,403.68

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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.