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Finding the Third Proportional to 436,219,920 and 933,717,960

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Solution

The third proportional to 436,219,920 and 933,717,960 is: 1,998,600,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,219,920 : 933,717,960 = 933,717,960 : x
  2. Step 2: Convert to fraction form
    436,219,920/933,717,960 = 933,717,960/x
  3. Step 3: Cross multiply
    436,219,920x = 933,717,960 × 933,717,960
  4. Step 4: Simplify right side
    436,219,920x = 871,829,228,826,561,536
  5. Step 5: Solve for x
    x = 871,829,228,826,561,536/436,219,920
  6. Step 6: Final answer
    x = 1,998,600,221.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.