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Finding the Third Proportional to 2,407,470,561 and 4,882,633,713

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Solution

The third proportional to 2,407,470,561 and 4,882,633,713 is: 9,902,555,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,470,561 : 4,882,633,713 = 4,882,633,713 : x
  2. Step 2: Convert to fraction form
    2,407,470,561/4,882,633,713 = 4,882,633,713/x
  3. Step 3: Cross multiply
    2,407,470,561x = 4,882,633,713 × 4,882,633,713
  4. Step 4: Simplify right side
    2,407,470,561x = 23,840,111,975,324,168,192
  5. Step 5: Solve for x
    x = 23,840,111,975,324,168,192/2,407,470,561
  6. Step 6: Final answer
    x = 9,902,555,969.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.