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Finding the Third Proportional to 13,087,340 and 27,854,296

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Solution

The third proportional to 13,087,340 and 27,854,296 is: 59,283,384.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,087,340 : 27,854,296 = 27,854,296 : x
  2. Step 2: Convert to fraction form
    13,087,340/27,854,296 = 27,854,296/x
  3. Step 3: Cross multiply
    13,087,340x = 27,854,296 × 27,854,296
  4. Step 4: Simplify right side
    13,087,340x = 775,861,805,655,616
  5. Step 5: Solve for x
    x = 775,861,805,655,616/13,087,340
  6. Step 6: Final answer
    x = 59,283,384.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.