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Finding the Third Proportional to 2,447,022 and 5,336,412

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Solution

The third proportional to 2,447,022 and 5,336,412 is: 11,637,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,022 : 5,336,412 = 5,336,412 : x
  2. Step 2: Convert to fraction form
    2,447,022/5,336,412 = 5,336,412/x
  3. Step 3: Cross multiply
    2,447,022x = 5,336,412 × 5,336,412
  4. Step 4: Simplify right side
    2,447,022x = 28,477,293,033,744
  5. Step 5: Solve for x
    x = 28,477,293,033,744/2,447,022
  6. Step 6: Final answer
    x = 11,637,530.45

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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.