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Finding the Third Proportional to 3,833,012 and 7,778,657

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Solution

The third proportional to 3,833,012 and 7,778,657 is: 15,785,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833,012 : 7,778,657 = 7,778,657 : x
  2. Step 2: Convert to fraction form
    3,833,012/7,778,657 = 7,778,657/x
  3. Step 3: Cross multiply
    3,833,012x = 7,778,657 × 7,778,657
  4. Step 4: Simplify right side
    3,833,012x = 60,507,504,723,649
  5. Step 5: Solve for x
    x = 60,507,504,723,649/3,833,012
  6. Step 6: Final answer
    x = 15,785,889.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.