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Finding the Third Proportional to 9,759,594 and 21,199,267

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Solution

The third proportional to 9,759,594 and 21,199,267 is: 46,047,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759,594 : 21,199,267 = 21,199,267 : x
  2. Step 2: Convert to fraction form
    9,759,594/21,199,267 = 21,199,267/x
  3. Step 3: Cross multiply
    9,759,594x = 21,199,267 × 21,199,267
  4. Step 4: Simplify right side
    9,759,594x = 449,408,921,337,289
  5. Step 5: Solve for x
    x = 449,408,921,337,289/9,759,594
  6. Step 6: Final answer
    x = 46,047,911.56

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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.