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Finding the Third Proportional to 4,846,928 and 10,195,264

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Solution

The third proportional to 4,846,928 and 10,195,264 is: 21,445,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846,928 : 10,195,264 = 10,195,264 : x
  2. Step 2: Convert to fraction form
    4,846,928/10,195,264 = 10,195,264/x
  3. Step 3: Cross multiply
    4,846,928x = 10,195,264 × 10,195,264
  4. Step 4: Simplify right side
    4,846,928x = 103,943,408,029,696
  5. Step 5: Solve for x
    x = 103,943,408,029,696/4,846,928
  6. Step 6: Final answer
    x = 21,445,213.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.