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Finding the Third Proportional to 5,884,466 and 12,697,860

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Solution

The third proportional to 5,884,466 and 12,697,860 is: 27,400,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884,466 : 12,697,860 = 12,697,860 : x
  2. Step 2: Convert to fraction form
    5,884,466/12,697,860 = 12,697,860/x
  3. Step 3: Cross multiply
    5,884,466x = 12,697,860 × 12,697,860
  4. Step 4: Simplify right side
    5,884,466x = 161,235,648,579,600
  5. Step 5: Solve for x
    x = 161,235,648,579,600/5,884,466
  6. Step 6: Final answer
    x = 27,400,217.55

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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.