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Finding the Third Proportional to 5,739,525 and 12,598,659

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Solution

The third proportional to 5,739,525 and 12,598,659 is: 27,654,938.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739,525 : 12,598,659 = 12,598,659 : x
  2. Step 2: Convert to fraction form
    5,739,525/12,598,659 = 12,598,659/x
  3. Step 3: Cross multiply
    5,739,525x = 12,598,659 × 12,598,659
  4. Step 4: Simplify right side
    5,739,525x = 158,726,208,598,281
  5. Step 5: Solve for x
    x = 158,726,208,598,281/5,739,525
  6. Step 6: Final answer
    x = 27,654,938.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.