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Finding the Third Proportional to 5,291,509 and 11,591,499

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Solution

The third proportional to 5,291,509 and 11,591,499 is: 25,392,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291,509 : 11,591,499 = 11,591,499 : x
  2. Step 2: Convert to fraction form
    5,291,509/11,591,499 = 11,591,499/x
  3. Step 3: Cross multiply
    5,291,509x = 11,591,499 × 11,591,499
  4. Step 4: Simplify right side
    5,291,509x = 134,362,849,067,001
  5. Step 5: Solve for x
    x = 134,362,849,067,001/5,291,509
  6. Step 6: Final answer
    x = 25,392,161.11

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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.