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Finding the Third Proportional to 2,211,327 and 4,730,067

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Solution

The third proportional to 2,211,327 and 4,730,067 is: 10,117,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211,327 : 4,730,067 = 4,730,067 : x
  2. Step 2: Convert to fraction form
    2,211,327/4,730,067 = 4,730,067/x
  3. Step 3: Cross multiply
    2,211,327x = 4,730,067 × 4,730,067
  4. Step 4: Simplify right side
    2,211,327x = 22,373,533,824,489
  5. Step 5: Solve for x
    x = 22,373,533,824,489/2,211,327
  6. Step 6: Final answer
    x = 10,117,695.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.