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Finding the Third Proportional to 33,597,294,571 and 71,986,784,184

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Solution

The third proportional to 33,597,294,571 and 71,986,784,184 is: 154,241,499,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,597,294,571 : 71,986,784,184 = 71,986,784,184 : x
  2. Step 2: Convert to fraction form
    33,597,294,571/71,986,784,184 = 71,986,784,184/x
  3. Step 3: Cross multiply
    33,597,294,571x = 71,986,784,184 × 71,986,784,184
  4. Step 4: Simplify right side
    33,597,294,571x = 5,182,097,097,153,792,966,656
  5. Step 5: Solve for x
    x = 5,182,097,097,153,792,966,656/33,597,294,571
  6. Step 6: Final answer
    x = 154,241,499,600.59

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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.