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Finding the Third Proportional to 4,810,836 and 10,368,096

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Solution

The third proportional to 4,810,836 and 10,368,096 is: 22,344,851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810,836 : 10,368,096 = 10,368,096 : x
  2. Step 2: Convert to fraction form
    4,810,836/10,368,096 = 10,368,096/x
  3. Step 3: Cross multiply
    4,810,836x = 10,368,096 × 10,368,096
  4. Step 4: Simplify right side
    4,810,836x = 107,497,414,665,216
  5. Step 5: Solve for x
    x = 107,497,414,665,216/4,810,836
  6. Step 6: Final answer
    x = 22,344,851.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.