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Finding the Third Proportional to 13,636,825 and 22,725,343

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Solution

The third proportional to 13,636,825 and 22,725,343 is: 37,871,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,636,825 : 22,725,343 = 22,725,343 : x
  2. Step 2: Convert to fraction form
    13,636,825/22,725,343 = 22,725,343/x
  3. Step 3: Cross multiply
    13,636,825x = 22,725,343 × 22,725,343
  4. Step 4: Simplify right side
    13,636,825x = 516,441,214,467,649
  5. Step 5: Solve for x
    x = 516,441,214,467,649/13,636,825
  6. Step 6: Final answer
    x = 37,871,074.42

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.