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Finding the Third Proportional to 4,626,078.75 and 10,024,408.13

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Solution

The third proportional to 4,626,078.75 and 10,024,408.13 is: 21,722,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626,078.75 : 10,024,408.13 = 10,024,408.13 : x
  2. Step 2: Convert to fraction form
    4,626,078.75/10,024,408.13 = 10,024,408.13/x
  3. Step 3: Cross multiply
    4,626,078.75x = 10,024,408.13 × 10,024,408.13
  4. Step 4: Simplify right side
    4,626,078.75x = 100,488,758,256,566.02
  5. Step 5: Solve for x
    x = 100,488,758,256,566.02/4,626,078.75
  6. Step 6: Final answer
    x = 21,722,232.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.