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Finding the Third Proportional to 2,308,978,649 and 5,041,194,007

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Solution

The third proportional to 2,308,978,649 and 5,041,194,007 is: 11,006,440,889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308,978,649 : 5,041,194,007 = 5,041,194,007 : x
  2. Step 2: Convert to fraction form
    2,308,978,649/5,041,194,007 = 5,041,194,007/x
  3. Step 3: Cross multiply
    2,308,978,649x = 5,041,194,007 × 5,041,194,007
  4. Step 4: Simplify right side
    2,308,978,649x = 25,413,637,016,212,717,568
  5. Step 5: Solve for x
    x = 25,413,637,016,212,717,568/2,308,978,649
  6. Step 6: Final answer
    x = 11,006,440,889.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.