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Finding the Third Proportional to 13,736,520 and 27,127,314

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Solution

The third proportional to 13,736,520 and 27,127,314 is: 53,571,877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736,520 : 27,127,314 = 27,127,314 : x
  2. Step 2: Convert to fraction form
    13,736,520/27,127,314 = 27,127,314/x
  3. Step 3: Cross multiply
    13,736,520x = 27,127,314 × 27,127,314
  4. Step 4: Simplify right side
    13,736,520x = 735,891,164,854,596
  5. Step 5: Solve for x
    x = 735,891,164,854,596/13,736,520
  6. Step 6: Final answer
    x = 53,571,877.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.