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Finding the Third Proportional to 33,902,053.88 and 73,583,528.63

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Solution

The third proportional to 33,902,053.88 and 73,583,528.63 is: 159,711,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902,053.88 : 73,583,528.63 = 73,583,528.63 : x
  2. Step 2: Convert to fraction form
    33,902,053.88/73,583,528.63 = 73,583,528.63/x
  3. Step 3: Cross multiply
    33,902,053.88x = 73,583,528.63 × 73,583,528.63
  4. Step 4: Simplify right side
    33,902,053.88x = 5,414,535,684,906,194
  5. Step 5: Solve for x
    x = 5,414,535,684,906,194/33,902,053.88
  6. Step 6: Final answer
    x = 159,711,140.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.