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Finding the Third Proportional to 4,198,161,252 and 9,719,000,632

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Solution

The third proportional to 4,198,161,252 and 9,719,000,632 is: 22,500,082,206.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,161,252 : 9,719,000,632 = 9,719,000,632 : x
  2. Step 2: Convert to fraction form
    4,198,161,252/9,719,000,632 = 9,719,000,632/x
  3. Step 3: Cross multiply
    4,198,161,252x = 9,719,000,632 × 9,719,000,632
  4. Step 4: Simplify right side
    4,198,161,252x = 94,458,973,284,816,404,480
  5. Step 5: Solve for x
    x = 94,458,973,284,816,404,480/4,198,161,252
  6. Step 6: Final answer
    x = 22,500,082,206.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.