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Finding the Third Proportional to 5,744,658 and 12,446,721

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Solution

The third proportional to 5,744,658 and 12,446,721 is: 26,967,813.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744,658 : 12,446,721 = 12,446,721 : x
  2. Step 2: Convert to fraction form
    5,744,658/12,446,721 = 12,446,721/x
  3. Step 3: Cross multiply
    5,744,658x = 12,446,721 × 12,446,721
  4. Step 4: Simplify right side
    5,744,658x = 154,920,863,651,841
  5. Step 5: Solve for x
    x = 154,920,863,651,841/5,744,658
  6. Step 6: Final answer
    x = 26,967,813.17

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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.