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Finding the Third Proportional to 4,600,024 and 10,085,780

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Solution

The third proportional to 4,600,024 and 10,085,780 is: 22,113,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600,024 : 10,085,780 = 10,085,780 : x
  2. Step 2: Convert to fraction form
    4,600,024/10,085,780 = 10,085,780/x
  3. Step 3: Cross multiply
    4,600,024x = 10,085,780 × 10,085,780
  4. Step 4: Simplify right side
    4,600,024x = 101,722,958,208,400
  5. Step 5: Solve for x
    x = 101,722,958,208,400/4,600,024
  6. Step 6: Final answer
    x = 22,113,571.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.