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Finding the Third Proportional to 5,843,340 and 8,732,296.13

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Solution

The third proportional to 5,843,340 and 8,732,296.13 is: 13,049,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843,340 : 8,732,296.13 = 8,732,296.13 : x
  2. Step 2: Convert to fraction form
    5,843,340/8,732,296.13 = 8,732,296.13/x
  3. Step 3: Cross multiply
    5,843,340x = 8,732,296.13 × 8,732,296.13
  4. Step 4: Simplify right side
    5,843,340x = 76,252,995,614,690.02
  5. Step 5: Solve for x
    x = 76,252,995,614,690.02/5,843,340
  6. Step 6: Final answer
    x = 13,049,556.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.