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Finding the Third Proportional to 2,997,762 and 6,423,846

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Solution

The third proportional to 2,997,762 and 6,423,846 is: 13,765,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997,762 : 6,423,846 = 6,423,846 : x
  2. Step 2: Convert to fraction form
    2,997,762/6,423,846 = 6,423,846/x
  3. Step 3: Cross multiply
    2,997,762x = 6,423,846 × 6,423,846
  4. Step 4: Simplify right side
    2,997,762x = 41,265,797,431,716
  5. Step 5: Solve for x
    x = 41,265,797,431,716/2,997,762
  6. Step 6: Final answer
    x = 13,765,534.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.