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Finding the Third Proportional to 6,785,188 and 14,633,260

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Solution

The third proportional to 6,785,188 and 14,633,260 is: 31,558,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785,188 : 14,633,260 = 14,633,260 : x
  2. Step 2: Convert to fraction form
    6,785,188/14,633,260 = 14,633,260/x
  3. Step 3: Cross multiply
    6,785,188x = 14,633,260 × 14,633,260
  4. Step 4: Simplify right side
    6,785,188x = 214,132,298,227,600
  5. Step 5: Solve for x
    x = 214,132,298,227,600/6,785,188
  6. Step 6: Final answer
    x = 31,558,786.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.