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Finding the Third Proportional to 10,334,144 and 22,247,684

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Solution

The third proportional to 10,334,144 and 22,247,684 is: 47,895,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334,144 : 22,247,684 = 22,247,684 : x
  2. Step 2: Convert to fraction form
    10,334,144/22,247,684 = 22,247,684/x
  3. Step 3: Cross multiply
    10,334,144x = 22,247,684 × 22,247,684
  4. Step 4: Simplify right side
    10,334,144x = 494,959,443,363,856
  5. Step 5: Solve for x
    x = 494,959,443,363,856/10,334,144
  6. Step 6: Final answer
    x = 47,895,543.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.