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Finding the Third Proportional to 5,725,710 and 12,480,219

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Solution

The third proportional to 5,725,710 and 12,480,219 is: 27,202,891.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725,710 : 12,480,219 = 12,480,219 : x
  2. Step 2: Convert to fraction form
    5,725,710/12,480,219 = 12,480,219/x
  3. Step 3: Cross multiply
    5,725,710x = 12,480,219 × 12,480,219
  4. Step 4: Simplify right side
    5,725,710x = 155,755,866,287,961
  5. Step 5: Solve for x
    x = 155,755,866,287,961/5,725,710
  6. Step 6: Final answer
    x = 27,202,891.22

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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.