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Finding the Third Proportional to 5,972,567 and 13,084,677

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Solution

The third proportional to 5,972,567 and 13,084,677 is: 28,665,860.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972,567 : 13,084,677 = 13,084,677 : x
  2. Step 2: Convert to fraction form
    5,972,567/13,084,677 = 13,084,677/x
  3. Step 3: Cross multiply
    5,972,567x = 13,084,677 × 13,084,677
  4. Step 4: Simplify right side
    5,972,567x = 171,208,772,194,329
  5. Step 5: Solve for x
    x = 171,208,772,194,329/5,972,567
  6. Step 6: Final answer
    x = 28,665,860.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.