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Finding the Third Proportional to 33,959,503.13 and 52,957,072.69

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Solution

The third proportional to 33,959,503.13 and 52,957,072.69 is: 82,582,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,959,503.13 : 52,957,072.69 = 52,957,072.69 : x
  2. Step 2: Convert to fraction form
    33,959,503.13/52,957,072.69 = 52,957,072.69/x
  3. Step 3: Cross multiply
    33,959,503.13x = 52,957,072.69 × 52,957,072.69
  4. Step 4: Simplify right side
    33,959,503.13x = 2,804,451,547,629,158.50
  5. Step 5: Solve for x
    x = 2,804,451,547,629,158.50/33,959,503.13
  6. Step 6: Final answer
    x = 82,582,231.47

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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.