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Finding the Third Proportional to 33,012,724.50 and 72,402,741

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Solution

The third proportional to 33,012,724.50 and 72,402,741 is: 158,792,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012,724.50 : 72,402,741 = 72,402,741 : x
  2. Step 2: Convert to fraction form
    33,012,724.50/72,402,741 = 72,402,741/x
  3. Step 3: Cross multiply
    33,012,724.50x = 72,402,741 × 72,402,741
  4. Step 4: Simplify right side
    33,012,724.50x = 5,242,156,904,313,081
  5. Step 5: Solve for x
    x = 5,242,156,904,313,081/33,012,724.50
  6. Step 6: Final answer
    x = 158,792,010.77

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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.