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Finding the Third Proportional to 33,726,323,571 and 74,993,371,737

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Solution

The third proportional to 33,726,323,571 and 74,993,371,737 is: 166,754,191,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,726,323,571 : 74,993,371,737 = 74,993,371,737 : x
  2. Step 2: Convert to fraction form
    33,726,323,571/74,993,371,737 = 74,993,371,737/x
  3. Step 3: Cross multiply
    33,726,323,571x = 74,993,371,737 × 74,993,371,737
  4. Step 4: Simplify right side
    33,726,323,571x = 5,624,005,804,483,870,195,712
  5. Step 5: Solve for x
    x = 5,624,005,804,483,870,195,712/33,726,323,571
  6. Step 6: Final answer
    x = 166,754,191,059.23

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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.