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Finding the Third Proportional to 2,588,033.25 and 5,607,381

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Solution

The third proportional to 2,588,033.25 and 5,607,381 is: 12,149,272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588,033.25 : 5,607,381 = 5,607,381 : x
  2. Step 2: Convert to fraction form
    2,588,033.25/5,607,381 = 5,607,381/x
  3. Step 3: Cross multiply
    2,588,033.25x = 5,607,381 × 5,607,381
  4. Step 4: Simplify right side
    2,588,033.25x = 31,442,721,679,161
  5. Step 5: Solve for x
    x = 31,442,721,679,161/2,588,033.25
  6. Step 6: Final answer
    x = 12,149,272.69

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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.