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Finding the Third Proportional to 3,833,014 and 7,778,663

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Solution

The third proportional to 3,833,014 and 7,778,663 is: 15,785,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833,014 : 7,778,663 = 7,778,663 : x
  2. Step 2: Convert to fraction form
    3,833,014/7,778,663 = 7,778,663/x
  3. Step 3: Cross multiply
    3,833,014x = 7,778,663 × 7,778,663
  4. Step 4: Simplify right side
    3,833,014x = 60,507,598,067,569
  5. Step 5: Solve for x
    x = 60,507,598,067,569/3,833,014
  6. Step 6: Final answer
    x = 15,785,905.83

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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.