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Finding the Third Proportional to 3,887,427.75 and 5,358,742.50

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Solution

The third proportional to 3,887,427.75 and 5,358,742.50 is: 7,386,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887,427.75 : 5,358,742.50 = 5,358,742.50 : x
  2. Step 2: Convert to fraction form
    3,887,427.75/5,358,742.50 = 5,358,742.50/x
  3. Step 3: Cross multiply
    3,887,427.75x = 5,358,742.50 × 5,358,742.50
  4. Step 4: Simplify right side
    3,887,427.75x = 28,716,121,181,306.25
  5. Step 5: Solve for x
    x = 28,716,121,181,306.25/3,887,427.75
  6. Step 6: Final answer
    x = 7,386,920.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.