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Finding the Third Proportional to 10,367,041 and 22,623,589

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Solution

The third proportional to 10,367,041 and 22,623,589 is: 49,370,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367,041 : 22,623,589 = 22,623,589 : x
  2. Step 2: Convert to fraction form
    10,367,041/22,623,589 = 22,623,589/x
  3. Step 3: Cross multiply
    10,367,041x = 22,623,589 × 22,623,589
  4. Step 4: Simplify right side
    10,367,041x = 511,826,779,240,921
  5. Step 5: Solve for x
    x = 511,826,779,240,921/10,367,041
  6. Step 6: Final answer
    x = 49,370,575.39

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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.