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Finding the Third Proportional to 4,862,749 and 10,581,723

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Solution

The third proportional to 4,862,749 and 10,581,723 is: 23,026,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862,749 : 10,581,723 = 10,581,723 : x
  2. Step 2: Convert to fraction form
    4,862,749/10,581,723 = 10,581,723/x
  3. Step 3: Cross multiply
    4,862,749x = 10,581,723 × 10,581,723
  4. Step 4: Simplify right side
    4,862,749x = 111,972,861,648,729
  5. Step 5: Solve for x
    x = 111,972,861,648,729/4,862,749
  6. Step 6: Final answer
    x = 23,026,658.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.