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Finding the Third Proportional to 9,857,059 and 21,569,315

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Solution

The third proportional to 9,857,059 and 21,569,315 is: 47,198,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857,059 : 21,569,315 = 21,569,315 : x
  2. Step 2: Convert to fraction form
    9,857,059/21,569,315 = 21,569,315/x
  3. Step 3: Cross multiply
    9,857,059x = 21,569,315 × 21,569,315
  4. Step 4: Simplify right side
    9,857,059x = 465,235,349,569,225
  5. Step 5: Solve for x
    x = 465,235,349,569,225/9,857,059
  6. Step 6: Final answer
    x = 47,198,190.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.