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Finding the Third Proportional to 2,308,978,647 and 5,041,194,003

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Solution

The third proportional to 2,308,978,647 and 5,041,194,003 is: 11,006,440,881.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308,978,647 : 5,041,194,003 = 5,041,194,003 : x
  2. Step 2: Convert to fraction form
    2,308,978,647/5,041,194,003 = 5,041,194,003/x
  3. Step 3: Cross multiply
    2,308,978,647x = 5,041,194,003 × 5,041,194,003
  4. Step 4: Simplify right side
    2,308,978,647x = 25,413,636,975,883,165,696
  5. Step 5: Solve for x
    x = 25,413,636,975,883,165,696/2,308,978,647
  6. Step 6: Final answer
    x = 11,006,440,881.95

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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.