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Finding the Third Proportional to 4,912,135 and 10,570,765

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Solution

The third proportional to 4,912,135 and 10,570,765 is: 22,747,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912,135 : 10,570,765 = 10,570,765 : x
  2. Step 2: Convert to fraction form
    4,912,135/10,570,765 = 10,570,765/x
  3. Step 3: Cross multiply
    4,912,135x = 10,570,765 × 10,570,765
  4. Step 4: Simplify right side
    4,912,135x = 111,741,072,685,225
  5. Step 5: Solve for x
    x = 111,741,072,685,225/4,912,135
  6. Step 6: Final answer
    x = 22,747,964.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.