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Finding the Third Proportional to 365,294,151,216 and 558,859,149,432

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Solution

The third proportional to 365,294,151,216 and 558,859,149,432 is: 854,991,923,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,294,151,216 : 558,859,149,432 = 558,859,149,432 : x
  2. Step 2: Convert to fraction form
    365,294,151,216/558,859,149,432 = 558,859,149,432/x
  3. Step 3: Cross multiply
    365,294,151,216x = 558,859,149,432 × 558,859,149,432
  4. Step 4: Simplify right side
    365,294,151,216x = 312,323,548,903,858,501,582,848
  5. Step 5: Solve for x
    x = 312,323,548,903,858,501,582,848/365,294,151,216
  6. Step 6: Final answer
    x = 854,991,923,260.17

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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.