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Finding the Third Proportional to 19,682,114 and 27,704,643

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Solution

The third proportional to 19,682,114 and 27,704,643 is: 38,997,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682,114 : 27,704,643 = 27,704,643 : x
  2. Step 2: Convert to fraction form
    19,682,114/27,704,643 = 27,704,643/x
  3. Step 3: Cross multiply
    19,682,114x = 27,704,643 × 27,704,643
  4. Step 4: Simplify right side
    19,682,114x = 767,547,243,757,449
  5. Step 5: Solve for x
    x = 767,547,243,757,449/19,682,114
  6. Step 6: Final answer
    x = 38,997,195.31

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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.