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Finding the Third Proportional to 5,359,570 and 11,682,788

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Solution

The third proportional to 5,359,570 and 11,682,788 is: 25,466,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359,570 : 11,682,788 = 11,682,788 : x
  2. Step 2: Convert to fraction form
    5,359,570/11,682,788 = 11,682,788/x
  3. Step 3: Cross multiply
    5,359,570x = 11,682,788 × 11,682,788
  4. Step 4: Simplify right side
    5,359,570x = 136,487,535,452,944
  5. Step 5: Solve for x
    x = 136,487,535,452,944/5,359,570
  6. Step 6: Final answer
    x = 25,466,135.43

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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.