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Finding the Third Proportional to 33,959,287.13 and 52,956,748.69

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Solution

The third proportional to 33,959,287.13 and 52,956,748.69 is: 82,581,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,959,287.13 : 52,956,748.69 = 52,956,748.69 : x
  2. Step 2: Convert to fraction form
    33,959,287.13/52,956,748.69 = 52,956,748.69/x
  3. Step 3: Cross multiply
    33,959,287.13x = 52,956,748.69 × 52,956,748.69
  4. Step 4: Simplify right side
    33,959,287.13x = 2,804,417,231,551,033
  5. Step 5: Solve for x
    x = 2,804,417,231,551,033/33,959,287.13
  6. Step 6: Final answer
    x = 82,581,746.23

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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.