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Finding the Third Proportional to 5,359,569 and 11,682,786

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Solution

The third proportional to 5,359,569 and 11,682,786 is: 25,466,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359,569 : 11,682,786 = 11,682,786 : x
  2. Step 2: Convert to fraction form
    5,359,569/11,682,786 = 11,682,786/x
  3. Step 3: Cross multiply
    5,359,569x = 11,682,786 × 11,682,786
  4. Step 4: Simplify right side
    5,359,569x = 136,487,488,721,796
  5. Step 5: Solve for x
    x = 136,487,488,721,796/5,359,569
  6. Step 6: Final answer
    x = 25,466,131.46

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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.