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Finding the Third Proportional to 7,785,709.88 and 17,037,670.36

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Solution

The third proportional to 7,785,709.88 and 17,037,670.36 is: 37,283,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785,709.88 : 17,037,670.36 = 17,037,670.36 : x
  2. Step 2: Convert to fraction form
    7,785,709.88/17,037,670.36 = 17,037,670.36/x
  3. Step 3: Cross multiply
    7,785,709.88x = 17,037,670.36 × 17,037,670.36
  4. Step 4: Simplify right side
    7,785,709.88x = 290,282,211,274,725.44
  5. Step 5: Solve for x
    x = 290,282,211,274,725.44/7,785,709.88
  6. Step 6: Final answer
    x = 37,283,974.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.