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Finding the Third Proportional to 4,194,210 and 9,173,416

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Solution

The third proportional to 4,194,210 and 9,173,416 is: 20,063,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,210 : 9,173,416 = 9,173,416 : x
  2. Step 2: Convert to fraction form
    4,194,210/9,173,416 = 9,173,416/x
  3. Step 3: Cross multiply
    4,194,210x = 9,173,416 × 9,173,416
  4. Step 4: Simplify right side
    4,194,210x = 84,151,561,109,056
  5. Step 5: Solve for x
    x = 84,151,561,109,056/4,194,210
  6. Step 6: Final answer
    x = 20,063,745.28

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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.