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Finding the Third Proportional to 2,561,962.50 and 5,544,693

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Solution

The third proportional to 2,561,962.50 and 5,544,693 is: 12,000,027.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,962.50 : 5,544,693 = 5,544,693 : x
  2. Step 2: Convert to fraction form
    2,561,962.50/5,544,693 = 5,544,693/x
  3. Step 3: Cross multiply
    2,561,962.50x = 5,544,693 × 5,544,693
  4. Step 4: Simplify right side
    2,561,962.50x = 30,743,620,464,249
  5. Step 5: Solve for x
    x = 30,743,620,464,249/2,561,962.50
  6. Step 6: Final answer
    x = 12,000,027.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.