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Finding the Third Proportional to 13,949,598 and 29,558,643

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Solution

The third proportional to 13,949,598 and 29,558,643 is: 62,633,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,949,598 : 29,558,643 = 29,558,643 : x
  2. Step 2: Convert to fraction form
    13,949,598/29,558,643 = 29,558,643/x
  3. Step 3: Cross multiply
    13,949,598x = 29,558,643 × 29,558,643
  4. Step 4: Simplify right side
    13,949,598x = 873,713,376,001,449
  5. Step 5: Solve for x
    x = 873,713,376,001,449/13,949,598
  6. Step 6: Final answer
    x = 62,633,588.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.