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Finding the Third Proportional to 365,294,151,220 and 558,859,149,438

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Solution

The third proportional to 365,294,151,220 and 558,859,149,438 is: 854,991,923,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,294,151,220 : 558,859,149,438 = 558,859,149,438 : x
  2. Step 2: Convert to fraction form
    365,294,151,220/558,859,149,438 = 558,859,149,438/x
  3. Step 3: Cross multiply
    365,294,151,220x = 558,859,149,438 × 558,859,149,438
  4. Step 4: Simplify right side
    365,294,151,220x = 312,323,548,910,564,824,580,096
  5. Step 5: Solve for x
    x = 312,323,548,910,564,824,580,096/365,294,151,220
  6. Step 6: Final answer
    x = 854,991,923,269.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.