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Finding the Third Proportional to 33,997,736,728 and 72,771,347,382.50

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Solution

The third proportional to 33,997,736,728 and 72,771,347,382.50 is: 155,765,339,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997,736,728 : 72,771,347,382.50 = 72,771,347,382.50 : x
  2. Step 2: Convert to fraction form
    33,997,736,728/72,771,347,382.50 = 72,771,347,382.50/x
  3. Step 3: Cross multiply
    33,997,736,728x = 72,771,347,382.50 × 72,771,347,382.50
  4. Step 4: Simplify right side
    33,997,736,728x = 5,295,668,999,864,489,869,312
  5. Step 5: Solve for x
    x = 5,295,668,999,864,489,869,312/33,997,736,728
  6. Step 6: Final answer
    x = 155,765,339,388.11

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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.