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Finding the Third Proportional to 5,294,963 and 11,560,963

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Solution

The third proportional to 5,294,963 and 11,560,963 is: 25,242,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294,963 : 11,560,963 = 11,560,963 : x
  2. Step 2: Convert to fraction form
    5,294,963/11,560,963 = 11,560,963/x
  3. Step 3: Cross multiply
    5,294,963x = 11,560,963 × 11,560,963
  4. Step 4: Simplify right side
    5,294,963x = 133,655,865,487,369
  5. Step 5: Solve for x
    x = 133,655,865,487,369/5,294,963
  6. Step 6: Final answer
    x = 25,242,077.33

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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.