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Finding the Third Proportional to 41,820,224 and 90,590,784

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Solution

The third proportional to 41,820,224 and 90,590,784 is: 196,237,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,820,224 : 90,590,784 = 90,590,784 : x
  2. Step 2: Convert to fraction form
    41,820,224/90,590,784 = 90,590,784/x
  3. Step 3: Cross multiply
    41,820,224x = 90,590,784 × 90,590,784
  4. Step 4: Simplify right side
    41,820,224x = 8,206,690,145,734,656
  5. Step 5: Solve for x
    x = 8,206,690,145,734,656/41,820,224
  6. Step 6: Final answer
    x = 196,237,355.06

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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.