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Finding the Third Proportional to 19,682,118 and 27,704,649

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Solution

The third proportional to 19,682,118 and 27,704,649 is: 38,997,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682,118 : 27,704,649 = 27,704,649 : x
  2. Step 2: Convert to fraction form
    19,682,118/27,704,649 = 27,704,649/x
  3. Step 3: Cross multiply
    19,682,118x = 27,704,649 × 27,704,649
  4. Step 4: Simplify right side
    19,682,118x = 767,547,576,213,201
  5. Step 5: Solve for x
    x = 767,547,576,213,201/19,682,118
  6. Step 6: Final answer
    x = 38,997,204.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.