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Finding the Third Proportional to 10,333,764 and 22,247,087

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Solution

The third proportional to 10,333,764 and 22,247,087 is: 47,894,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333,764 : 22,247,087 = 22,247,087 : x
  2. Step 2: Convert to fraction form
    10,333,764/22,247,087 = 22,247,087/x
  3. Step 3: Cross multiply
    10,333,764x = 22,247,087 × 22,247,087
  4. Step 4: Simplify right side
    10,333,764x = 494,932,879,985,569
  5. Step 5: Solve for x
    x = 494,932,879,985,569/10,333,764
  6. Step 6: Final answer
    x = 47,894,734.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.