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Finding the Third Proportional to 2,942,223 and 6,348,909

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Solution

The third proportional to 2,942,223 and 6,348,909 is: 13,700,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,223 : 6,348,909 = 6,348,909 : x
  2. Step 2: Convert to fraction form
    2,942,223/6,348,909 = 6,348,909/x
  3. Step 3: Cross multiply
    2,942,223x = 6,348,909 × 6,348,909
  4. Step 4: Simplify right side
    2,942,223x = 40,308,645,490,281
  5. Step 5: Solve for x
    x = 40,308,645,490,281/2,942,223
  6. Step 6: Final answer
    x = 13,700,064.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.