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Finding the Third Proportional to 22,234,769 and 33,221,265

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Solution

The third proportional to 22,234,769 and 33,221,265 is: 49,636,335.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234,769 : 33,221,265 = 33,221,265 : x
  2. Step 2: Convert to fraction form
    22,234,769/33,221,265 = 33,221,265/x
  3. Step 3: Cross multiply
    22,234,769x = 33,221,265 × 33,221,265
  4. Step 4: Simplify right side
    22,234,769x = 1,103,652,448,200,225
  5. Step 5: Solve for x
    x = 1,103,652,448,200,225/22,234,769
  6. Step 6: Final answer
    x = 49,636,335.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.