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Finding the Third Proportional to 8,224,077 and 17,821,047

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Solution

The third proportional to 8,224,077 and 17,821,047 is: 38,617,065.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224,077 : 17,821,047 = 17,821,047 : x
  2. Step 2: Convert to fraction form
    8,224,077/17,821,047 = 17,821,047/x
  3. Step 3: Cross multiply
    8,224,077x = 17,821,047 × 17,821,047
  4. Step 4: Simplify right side
    8,224,077x = 317,589,716,176,209
  5. Step 5: Solve for x
    x = 317,589,716,176,209/8,224,077
  6. Step 6: Final answer
    x = 38,617,065.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.