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Finding the Third Proportional to 10,365,965 and 22,555,067

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Solution

The third proportional to 10,365,965 and 22,555,067 is: 49,077,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,965 : 22,555,067 = 22,555,067 : x
  2. Step 2: Convert to fraction form
    10,365,965/22,555,067 = 22,555,067/x
  3. Step 3: Cross multiply
    10,365,965x = 22,555,067 × 22,555,067
  4. Step 4: Simplify right side
    10,365,965x = 508,731,047,374,489
  5. Step 5: Solve for x
    x = 508,731,047,374,489/10,365,965
  6. Step 6: Final answer
    x = 49,077,056.25

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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.