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Finding the Third Proportional to 8,224,123.50 and 17,821,136.25

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Solution

The third proportional to 8,224,123.50 and 17,821,136.25 is: 38,617,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,123.50 : 17,821,136.25 = 17,821,136.25 : x
  2. Step 2: Convert to fraction form
    8,224,123.50/17,821,136.25 = 17,821,136.25/x
  3. Step 3: Cross multiply
    8,224,123.50x = 17,821,136.25 × 17,821,136.25
  4. Step 4: Simplify right side
    8,224,123.50x = 317,592,897,241,064.06
  5. Step 5: Solve for x
    x = 317,592,897,241,064.06/8,224,123.50
  6. Step 6: Final answer
    x = 38,617,233.46

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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.