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Finding the Third Proportional to 5,090,215 and 10,909,078

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Solution

The third proportional to 5,090,215 and 10,909,078 is: 23,379,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090,215 : 10,909,078 = 10,909,078 : x
  2. Step 2: Convert to fraction form
    5,090,215/10,909,078 = 10,909,078/x
  3. Step 3: Cross multiply
    5,090,215x = 10,909,078 × 10,909,078
  4. Step 4: Simplify right side
    5,090,215x = 119,007,982,810,084
  5. Step 5: Solve for x
    x = 119,007,982,810,084/5,090,215
  6. Step 6: Final answer
    x = 23,379,755.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.