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Finding the Third Proportional to 10,293,144 and 15,140,256

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Solution

The third proportional to 10,293,144 and 15,140,256 is: 22,269,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293,144 : 15,140,256 = 15,140,256 : x
  2. Step 2: Convert to fraction form
    10,293,144/15,140,256 = 15,140,256/x
  3. Step 3: Cross multiply
    10,293,144x = 15,140,256 × 15,140,256
  4. Step 4: Simplify right side
    10,293,144x = 229,227,351,745,536
  5. Step 5: Solve for x
    x = 229,227,351,745,536/10,293,144
  6. Step 6: Final answer
    x = 22,269,906.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.