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Finding the Third Proportional to 4,448,637 and 9,712,782

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Solution

The third proportional to 4,448,637 and 9,712,782 is: 21,206,075.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448,637 : 9,712,782 = 9,712,782 : x
  2. Step 2: Convert to fraction form
    4,448,637/9,712,782 = 9,712,782/x
  3. Step 3: Cross multiply
    4,448,637x = 9,712,782 × 9,712,782
  4. Step 4: Simplify right side
    4,448,637x = 94,338,134,179,524
  5. Step 5: Solve for x
    x = 94,338,134,179,524/4,448,637
  6. Step 6: Final answer
    x = 21,206,075.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.