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Finding the Third Proportional to 59,957,908,898 and 133,321,550,500

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Solution

The third proportional to 59,957,908,898 and 133,321,550,500 is: 296,451,896,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,957,908,898 : 133,321,550,500 = 133,321,550,500 : x
  2. Step 2: Convert to fraction form
    59,957,908,898/133,321,550,500 = 133,321,550,500/x
  3. Step 3: Cross multiply
    59,957,908,898x = 133,321,550,500 × 133,321,550,500
  4. Step 4: Simplify right side
    59,957,908,898x = 17,774,635,827,724,051,021,824
  5. Step 5: Solve for x
    x = 17,774,635,827,724,051,021,824/59,957,908,898
  6. Step 6: Final answer
    x = 296,451,896,912.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.