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Finding the Third Proportional to 5,675,642.50 and 12,610,997

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Solution

The third proportional to 5,675,642.50 and 12,610,997 is: 28,021,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675,642.50 : 12,610,997 = 12,610,997 : x
  2. Step 2: Convert to fraction form
    5,675,642.50/12,610,997 = 12,610,997/x
  3. Step 3: Cross multiply
    5,675,642.50x = 12,610,997 × 12,610,997
  4. Step 4: Simplify right side
    5,675,642.50x = 159,037,245,334,009
  5. Step 5: Solve for x
    x = 159,037,245,334,009/5,675,642.50
  6. Step 6: Final answer
    x = 28,021,011.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.