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Finding the Third Proportional to 33,997,736,727 and 72,771,347,380.50

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Solution

The third proportional to 33,997,736,727 and 72,771,347,380.50 is: 155,765,339,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997,736,727 : 72,771,347,380.50 = 72,771,347,380.50 : x
  2. Step 2: Convert to fraction form
    33,997,736,727/72,771,347,380.50 = 72,771,347,380.50/x
  3. Step 3: Cross multiply
    33,997,736,727x = 72,771,347,380.50 × 72,771,347,380.50
  4. Step 4: Simplify right side
    33,997,736,727x = 5,295,668,999,573,404,123,136
  5. Step 5: Solve for x
    x = 5,295,668,999,573,404,123,136/33,997,736,727
  6. Step 6: Final answer
    x = 155,765,339,384.13

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