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Finding the Third Proportional to 17,523,499.50 and 38,350,435.50

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Solution

The third proportional to 17,523,499.50 and 38,350,435.50 is: 83,930,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523,499.50 : 38,350,435.50 = 38,350,435.50 : x
  2. Step 2: Convert to fraction form
    17,523,499.50/38,350,435.50 = 38,350,435.50/x
  3. Step 3: Cross multiply
    17,523,499.50x = 38,350,435.50 × 38,350,435.50
  4. Step 4: Simplify right side
    17,523,499.50x = 1,470,755,903,039,660.25
  5. Step 5: Solve for x
    x = 1,470,755,903,039,660.25/17,523,499.50
  6. Step 6: Final answer
    x = 83,930,490.20

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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.