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Finding the Third Proportional to 2,544,432 and 5,392,224

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Solution

The third proportional to 2,544,432 and 5,392,224 is: 11,427,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544,432 : 5,392,224 = 5,392,224 : x
  2. Step 2: Convert to fraction form
    2,544,432/5,392,224 = 5,392,224/x
  3. Step 3: Cross multiply
    2,544,432x = 5,392,224 × 5,392,224
  4. Step 4: Simplify right side
    2,544,432x = 29,076,079,666,176
  5. Step 5: Solve for x
    x = 29,076,079,666,176/2,544,432
  6. Step 6: Final answer
    x = 11,427,336.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.