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Finding the Third Proportional to 33,140,369,587 and 72,696,885,395

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Solution

The third proportional to 33,140,369,587 and 72,696,885,395 is: 159,468,262,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140,369,587 : 72,696,885,395 = 72,696,885,395 : x
  2. Step 2: Convert to fraction form
    33,140,369,587/72,696,885,395 = 72,696,885,395/x
  3. Step 3: Cross multiply
    33,140,369,587x = 72,696,885,395 × 72,696,885,395
  4. Step 4: Simplify right side
    33,140,369,587x = 5,284,837,146,133,764,505,600
  5. Step 5: Solve for x
    x = 5,284,837,146,133,764,505,600/33,140,369,587
  6. Step 6: Final answer
    x = 159,468,262,182.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.