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Finding the Third Proportional to 3,306,413,656 and 7,138,805,868

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Solution

The third proportional to 3,306,413,656 and 7,138,805,868 is: 15,413,240,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306,413,656 : 7,138,805,868 = 7,138,805,868 : x
  2. Step 2: Convert to fraction form
    3,306,413,656/7,138,805,868 = 7,138,805,868/x
  3. Step 3: Cross multiply
    3,306,413,656x = 7,138,805,868 × 7,138,805,868
  4. Step 4: Simplify right side
    3,306,413,656x = 50,962,549,220,991,229,952
  5. Step 5: Solve for x
    x = 50,962,549,220,991,229,952/3,306,413,656
  6. Step 6: Final answer
    x = 15,413,240,605.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.