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Finding the Third Proportional to 5,468,914.50 and 11,785,677

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Solution

The third proportional to 5,468,914.50 and 11,785,677 is: 25,398,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468,914.50 : 11,785,677 = 11,785,677 : x
  2. Step 2: Convert to fraction form
    5,468,914.50/11,785,677 = 11,785,677/x
  3. Step 3: Cross multiply
    5,468,914.50x = 11,785,677 × 11,785,677
  4. Step 4: Simplify right side
    5,468,914.50x = 138,902,182,348,329
  5. Step 5: Solve for x
    x = 138,902,182,348,329/5,468,914.50
  6. Step 6: Final answer
    x = 25,398,492.21

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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.