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Finding the Third Proportional to 10,957,173.75 and 17,098,965

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Solution

The third proportional to 10,957,173.75 and 17,098,965 is: 26,683,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957,173.75 : 17,098,965 = 17,098,965 : x
  2. Step 2: Convert to fraction form
    10,957,173.75/17,098,965 = 17,098,965/x
  3. Step 3: Cross multiply
    10,957,173.75x = 17,098,965 × 17,098,965
  4. Step 4: Simplify right side
    10,957,173.75x = 292,374,604,071,225
  5. Step 5: Solve for x
    x = 292,374,604,071,225/10,957,173.75
  6. Step 6: Final answer
    x = 26,683,395.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.