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Finding the Third Proportional to 33,959,200.22 and 52,956,617.06

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Solution

The third proportional to 33,959,200.22 and 52,956,617.06 is: 82,581,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,959,200.22 : 52,956,617.06 = 52,956,617.06 : x
  2. Step 2: Convert to fraction form
    33,959,200.22/52,956,617.06 = 52,956,617.06/x
  3. Step 3: Cross multiply
    33,959,200.22x = 52,956,617.06 × 52,956,617.06
  4. Step 4: Simplify right side
    33,959,200.22x = 2,804,403,290,704,266
  5. Step 5: Solve for x
    x = 2,804,403,290,704,266/33,959,200.22
  6. Step 6: Final answer
    x = 82,581,547.05

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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.