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Finding the Third Proportional to 5,606,022 and 11,989,421

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Solution

The third proportional to 5,606,022 and 11,989,421 is: 25,641,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606,022 : 11,989,421 = 11,989,421 : x
  2. Step 2: Convert to fraction form
    5,606,022/11,989,421 = 11,989,421/x
  3. Step 3: Cross multiply
    5,606,022x = 11,989,421 × 11,989,421
  4. Step 4: Simplify right side
    5,606,022x = 143,746,215,915,241
  5. Step 5: Solve for x
    x = 143,746,215,915,241/5,606,022
  6. Step 6: Final answer
    x = 25,641,393.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.