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Finding the Third Proportional to 7,234,083 and 11,191,165

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Solution

The third proportional to 7,234,083 and 11,191,165 is: 17,312,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234,083 : 11,191,165 = 11,191,165 : x
  2. Step 2: Convert to fraction form
    7,234,083/11,191,165 = 11,191,165/x
  3. Step 3: Cross multiply
    7,234,083x = 11,191,165 × 11,191,165
  4. Step 4: Simplify right side
    7,234,083x = 125,242,174,057,225
  5. Step 5: Solve for x
    x = 125,242,174,057,225/7,234,083
  6. Step 6: Final answer
    x = 17,312,791.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.