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Finding the Third Proportional to 2,401,643.25 and 5,246,515.13

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Solution

The third proportional to 2,401,643.25 and 5,246,515.13 is: 11,461,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401,643.25 : 5,246,515.13 = 5,246,515.13 : x
  2. Step 2: Convert to fraction form
    2,401,643.25/5,246,515.13 = 5,246,515.13/x
  3. Step 3: Cross multiply
    2,401,643.25x = 5,246,515.13 × 5,246,515.13
  4. Step 4: Simplify right side
    2,401,643.25x = 27,525,920,956,853.77
  5. Step 5: Solve for x
    x = 27,525,920,956,853.77/2,401,643.25
  6. Step 6: Final answer
    x = 11,461,286.33

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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.