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Finding the Third Proportional to 5,069,601 and 11,272,659

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Solution

The third proportional to 5,069,601 and 11,272,659 is: 25,065,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069,601 : 11,272,659 = 11,272,659 : x
  2. Step 2: Convert to fraction form
    5,069,601/11,272,659 = 11,272,659/x
  3. Step 3: Cross multiply
    5,069,601x = 11,272,659 × 11,272,659
  4. Step 4: Simplify right side
    5,069,601x = 127,072,840,930,281
  5. Step 5: Solve for x
    x = 127,072,840,930,281/5,069,601
  6. Step 6: Final answer
    x = 25,065,649.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.