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Finding the Third Proportional to 5,738,001 and 12,123,655.50

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Solution

The third proportional to 5,738,001 and 12,123,655.50 is: 25,615,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738,001 : 12,123,655.50 = 12,123,655.50 : x
  2. Step 2: Convert to fraction form
    5,738,001/12,123,655.50 = 12,123,655.50/x
  3. Step 3: Cross multiply
    5,738,001x = 12,123,655.50 × 12,123,655.50
  4. Step 4: Simplify right side
    5,738,001x = 146,983,022,682,680.25
  5. Step 5: Solve for x
    x = 146,983,022,682,680.25/5,738,001
  6. Step 6: Final answer
    x = 25,615,719.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.