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Finding the Third Proportional to 2,942,208.75 and 6,348,882

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Solution

The third proportional to 2,942,208.75 and 6,348,882 is: 13,700,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,208.75 : 6,348,882 = 6,348,882 : x
  2. Step 2: Convert to fraction form
    2,942,208.75/6,348,882 = 6,348,882/x
  3. Step 3: Cross multiply
    2,942,208.75x = 6,348,882 × 6,348,882
  4. Step 4: Simplify right side
    2,942,208.75x = 40,308,302,649,924
  5. Step 5: Solve for x
    x = 40,308,302,649,924/2,942,208.75
  6. Step 6: Final answer
    x = 13,700,014.54

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