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Finding the Third Proportional to 9,725,389 and 21,163,225

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Solution

The third proportional to 9,725,389 and 21,163,225 is: 46,052,871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725,389 : 21,163,225 = 21,163,225 : x
  2. Step 2: Convert to fraction form
    9,725,389/21,163,225 = 21,163,225/x
  3. Step 3: Cross multiply
    9,725,389x = 21,163,225 × 21,163,225
  4. Step 4: Simplify right side
    9,725,389x = 447,882,092,400,625
  5. Step 5: Solve for x
    x = 447,882,092,400,625/9,725,389
  6. Step 6: Final answer
    x = 46,052,871.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.