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Finding the Third Proportional to 33,959,233.13 and 52,956,654.19

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Solution

The third proportional to 33,959,233.13 and 52,956,654.19 is: 82,581,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,959,233.13 : 52,956,654.19 = 52,956,654.19 : x
  2. Step 2: Convert to fraction form
    33,959,233.13/52,956,654.19 = 52,956,654.19/x
  3. Step 3: Cross multiply
    33,959,233.13x = 52,956,654.19 × 52,956,654.19
  4. Step 4: Simplify right side
    33,959,233.13x = 2,804,407,222,734,461.50
  5. Step 5: Solve for x
    x = 2,804,407,222,734,461.50/33,959,233.13
  6. Step 6: Final answer
    x = 82,581,582.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.