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Finding the Third Proportional to 9,865,646 and 21,524,110

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Solution

The third proportional to 9,865,646 and 21,524,110 is: 46,959,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865,646 : 21,524,110 = 21,524,110 : x
  2. Step 2: Convert to fraction form
    9,865,646/21,524,110 = 21,524,110/x
  3. Step 3: Cross multiply
    9,865,646x = 21,524,110 × 21,524,110
  4. Step 4: Simplify right side
    9,865,646x = 463,287,311,292,100
  5. Step 5: Solve for x
    x = 463,287,311,292,100/9,865,646
  6. Step 6: Final answer
    x = 46,959,652.85

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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.