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Finding the Third Proportional to 384,609,600 and 907,008,192

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Solution

The third proportional to 384,609,600 and 907,008,192 is: 2,138,958,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,609,600 : 907,008,192 = 907,008,192 : x
  2. Step 2: Convert to fraction form
    384,609,600/907,008,192 = 907,008,192/x
  3. Step 3: Cross multiply
    384,609,600x = 907,008,192 × 907,008,192
  4. Step 4: Simplify right side
    384,609,600x = 822,663,860,355,108,864
  5. Step 5: Solve for x
    x = 822,663,860,355,108,864/384,609,600
  6. Step 6: Final answer
    x = 2,138,958,206.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.