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Finding the Third Proportional to 2,942,308.50 and 6,335,480.25

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Solution

The third proportional to 2,942,308.50 and 6,335,480.25 is: 13,641,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,308.50 : 6,335,480.25 = 6,335,480.25 : x
  2. Step 2: Convert to fraction form
    2,942,308.50/6,335,480.25 = 6,335,480.25/x
  3. Step 3: Cross multiply
    2,942,308.50x = 6,335,480.25 × 6,335,480.25
  4. Step 4: Simplify right side
    2,942,308.50x = 40,138,309,998,140.06
  5. Step 5: Solve for x
    x = 40,138,309,998,140.06/2,942,308.50
  6. Step 6: Final answer
    x = 13,641,774.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.