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Finding the Third Proportional to 9,781,175.25 and 21,243,876.75

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Solution

The third proportional to 9,781,175.25 and 21,243,876.75 is: 46,139,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781,175.25 : 21,243,876.75 = 21,243,876.75 : x
  2. Step 2: Convert to fraction form
    9,781,175.25/21,243,876.75 = 21,243,876.75/x
  3. Step 3: Cross multiply
    9,781,175.25x = 21,243,876.75 × 21,243,876.75
  4. Step 4: Simplify right side
    9,781,175.25x = 451,302,299,369,190.56
  5. Step 5: Solve for x
    x = 451,302,299,369,190.56/9,781,175.25
  6. Step 6: Final answer
    x = 46,139,884.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.