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Finding the Third Proportional to 283,221,228 and 427,437,234

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Solution

The third proportional to 283,221,228 and 427,437,234 is: 645,087,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,221,228 : 427,437,234 = 427,437,234 : x
  2. Step 2: Convert to fraction form
    283,221,228/427,437,234 = 427,437,234/x
  3. Step 3: Cross multiply
    283,221,228x = 427,437,234 × 427,437,234
  4. Step 4: Simplify right side
    283,221,228x = 182,702,589,009,570,752
  5. Step 5: Solve for x
    x = 182,702,589,009,570,752/283,221,228
  6. Step 6: Final answer
    x = 645,087,906.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.