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Finding the Third Proportional to 10,177,437 and 21,949,152

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Solution

The third proportional to 10,177,437 and 21,949,152 is: 47,336,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177,437 : 21,949,152 = 21,949,152 : x
  2. Step 2: Convert to fraction form
    10,177,437/21,949,152 = 21,949,152/x
  3. Step 3: Cross multiply
    10,177,437x = 21,949,152 × 21,949,152
  4. Step 4: Simplify right side
    10,177,437x = 481,765,273,519,104
  5. Step 5: Solve for x
    x = 481,765,273,519,104/10,177,437
  6. Step 6: Final answer
    x = 47,336,600.91

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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.