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Finding the Third Proportional to 413,741,212 and 900,123,302

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Solution

The third proportional to 413,741,212 and 900,123,302 is: 1,958,281,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,741,212 : 900,123,302 = 900,123,302 : x
  2. Step 2: Convert to fraction form
    413,741,212/900,123,302 = 900,123,302/x
  3. Step 3: Cross multiply
    413,741,212x = 900,123,302 × 900,123,302
  4. Step 4: Simplify right side
    413,741,212x = 810,221,958,803,383,168
  5. Step 5: Solve for x
    x = 810,221,958,803,383,168/413,741,212
  6. Step 6: Final answer
    x = 1,958,281,977.49

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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.