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Finding the Third Proportional to 8,224,132 and 17,821,152.50

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Solution

The third proportional to 8,224,132 and 17,821,152.50 is: 38,617,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,132 : 17,821,152.50 = 17,821,152.50 : x
  2. Step 2: Convert to fraction form
    8,224,132/17,821,152.50 = 17,821,152.50/x
  3. Step 3: Cross multiply
    8,224,132x = 17,821,152.50 × 17,821,152.50
  4. Step 4: Simplify right side
    8,224,132x = 317,593,476,428,256.25
  5. Step 5: Solve for x
    x = 317,593,476,428,256.25/8,224,132
  6. Step 6: Final answer
    x = 38,617,263.98

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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.