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Finding the Third Proportional to 5,138,422 and 11,294,076

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Solution

The third proportional to 5,138,422 and 11,294,076 is: 24,823,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138,422 : 11,294,076 = 11,294,076 : x
  2. Step 2: Convert to fraction form
    5,138,422/11,294,076 = 11,294,076/x
  3. Step 3: Cross multiply
    5,138,422x = 11,294,076 × 11,294,076
  4. Step 4: Simplify right side
    5,138,422x = 127,556,152,693,776
  5. Step 5: Solve for x
    x = 127,556,152,693,776/5,138,422
  6. Step 6: Final answer
    x = 24,823,993.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.