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Finding the Third Proportional to 5,744,646 and 12,446,697

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Solution

The third proportional to 5,744,646 and 12,446,697 is: 26,967,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744,646 : 12,446,697 = 12,446,697 : x
  2. Step 2: Convert to fraction form
    5,744,646/12,446,697 = 12,446,697/x
  3. Step 3: Cross multiply
    5,744,646x = 12,446,697 × 12,446,697
  4. Step 4: Simplify right side
    5,744,646x = 154,920,266,209,809
  5. Step 5: Solve for x
    x = 154,920,266,209,809/5,744,646
  6. Step 6: Final answer
    x = 26,967,765.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.