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Finding the Third Proportional to 4,962,414 and 10,749,236

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Solution

The third proportional to 4,962,414 and 10,749,236 is: 23,284,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962,414 : 10,749,236 = 10,749,236 : x
  2. Step 2: Convert to fraction form
    4,962,414/10,749,236 = 10,749,236/x
  3. Step 3: Cross multiply
    4,962,414x = 10,749,236 × 10,749,236
  4. Step 4: Simplify right side
    4,962,414x = 115,546,074,583,696
  5. Step 5: Solve for x
    x = 115,546,074,583,696/4,962,414
  6. Step 6: Final answer
    x = 23,284,247.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.