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Finding the Third Proportional to 5,117,155 and 11,031,431

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Solution

The third proportional to 5,117,155 and 11,031,431 is: 23,781,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117,155 : 11,031,431 = 11,031,431 : x
  2. Step 2: Convert to fraction form
    5,117,155/11,031,431 = 11,031,431/x
  3. Step 3: Cross multiply
    5,117,155x = 11,031,431 × 11,031,431
  4. Step 4: Simplify right side
    5,117,155x = 121,692,469,907,761
  5. Step 5: Solve for x
    x = 121,692,469,907,761/5,117,155
  6. Step 6: Final answer
    x = 23,781,274.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.