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Finding the Third Proportional to 4,136,448 and 6,179,643

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Solution

The third proportional to 4,136,448 and 6,179,643 is: 9,232,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136,448 : 6,179,643 = 6,179,643 : x
  2. Step 2: Convert to fraction form
    4,136,448/6,179,643 = 6,179,643/x
  3. Step 3: Cross multiply
    4,136,448x = 6,179,643 × 6,179,643
  4. Step 4: Simplify right side
    4,136,448x = 38,187,987,607,449
  5. Step 5: Solve for x
    x = 38,187,987,607,449/4,136,448
  6. Step 6: Final answer
    x = 9,232,072.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.