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Finding the Third Proportional to 33,566,264.50 and 51,832,186.50

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Solution

The third proportional to 33,566,264.50 and 51,832,186.50 is: 80,037,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,566,264.50 : 51,832,186.50 = 51,832,186.50 : x
  2. Step 2: Convert to fraction form
    33,566,264.50/51,832,186.50 = 51,832,186.50/x
  3. Step 3: Cross multiply
    33,566,264.50x = 51,832,186.50 × 51,832,186.50
  4. Step 4: Simplify right side
    33,566,264.50x = 2,686,575,557,370,782
  5. Step 5: Solve for x
    x = 2,686,575,557,370,782/33,566,264.50
  6. Step 6: Final answer
    x = 80,037,966.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.