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Finding the Third Proportional to 6,428,367.50 and 13,728,553

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Solution

The third proportional to 6,428,367.50 and 13,728,553 is: 29,318,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428,367.50 : 13,728,553 = 13,728,553 : x
  2. Step 2: Convert to fraction form
    6,428,367.50/13,728,553 = 13,728,553/x
  3. Step 3: Cross multiply
    6,428,367.50x = 13,728,553 × 13,728,553
  4. Step 4: Simplify right side
    6,428,367.50x = 188,473,167,473,809
  5. Step 5: Solve for x
    x = 188,473,167,473,809/6,428,367.50
  6. Step 6: Final answer
    x = 29,318,978.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.