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Finding the Third Proportional to 5,884,444 and 12,697,814

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Solution

The third proportional to 5,884,444 and 12,697,814 is: 27,400,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884,444 : 12,697,814 = 12,697,814 : x
  2. Step 2: Convert to fraction form
    5,884,444/12,697,814 = 12,697,814/x
  3. Step 3: Cross multiply
    5,884,444x = 12,697,814 × 12,697,814
  4. Step 4: Simplify right side
    5,884,444x = 161,234,480,378,596
  5. Step 5: Solve for x
    x = 161,234,480,378,596/5,884,444
  6. Step 6: Final answer
    x = 27,400,121.47

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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.