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Finding the Third Proportional to 2,169,733,902 and 4,709,351,226

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Solution

The third proportional to 2,169,733,902 and 4,709,351,226 is: 10,221,524,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,733,902 : 4,709,351,226 = 4,709,351,226 : x
  2. Step 2: Convert to fraction form
    2,169,733,902/4,709,351,226 = 4,709,351,226/x
  3. Step 3: Cross multiply
    2,169,733,902x = 4,709,351,226 × 4,709,351,226
  4. Step 4: Simplify right side
    2,169,733,902x = 22,177,988,969,827,704,832
  5. Step 5: Solve for x
    x = 22,177,988,969,827,704,832/2,169,733,902
  6. Step 6: Final answer
    x = 10,221,524,837.39

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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.