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Finding the Third Proportional to 5,884,449 and 12,697,823.25

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Solution

The third proportional to 5,884,449 and 12,697,823.25 is: 27,400,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884,449 : 12,697,823.25 = 12,697,823.25 : x
  2. Step 2: Convert to fraction form
    5,884,449/12,697,823.25 = 12,697,823.25/x
  3. Step 3: Cross multiply
    5,884,449x = 12,697,823.25 × 12,697,823.25
  4. Step 4: Simplify right side
    5,884,449x = 161,234,715,288,240.56
  5. Step 5: Solve for x
    x = 161,234,715,288,240.56/5,884,449
  6. Step 6: Final answer
    x = 27,400,138.11

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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.