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Finding the Third Proportional to 7,834,071 and 17,181,502.50

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Solution

The third proportional to 7,834,071 and 17,181,502.50 is: 37,682,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834,071 : 17,181,502.50 = 17,181,502.50 : x
  2. Step 2: Convert to fraction form
    7,834,071/17,181,502.50 = 17,181,502.50/x
  3. Step 3: Cross multiply
    7,834,071x = 17,181,502.50 × 17,181,502.50
  4. Step 4: Simplify right side
    7,834,071x = 295,204,028,157,506.25
  5. Step 5: Solve for x
    x = 295,204,028,157,506.25/7,834,071
  6. Step 6: Final answer
    x = 37,682,072.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.