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Finding the Third Proportional to 3,367,442,566,338 and 6,913,403,073,012

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Solution

The third proportional to 3,367,442,566,338 and 6,913,403,073,012 is: 14,193,305,782,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367,442,566,338 : 6,913,403,073,012 = 6,913,403,073,012 : x
  2. Step 2: Convert to fraction form
    3,367,442,566,338/6,913,403,073,012 = 6,913,403,073,012/x
  3. Step 3: Cross multiply
    3,367,442,566,338x = 6,913,403,073,012 × 6,913,403,073,012
  4. Step 4: Simplify right side
    3,367,442,566,338x = 47,795,142,049,931,761,792,581,632
  5. Step 5: Solve for x
    x = 47,795,142,049,931,761,792,581,632/3,367,442,566,338
  6. Step 6: Final answer
    x = 14,193,305,782,764.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.