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Finding the Third Proportional to 6,318,614.25 and 13,644,058.50

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Solution

The third proportional to 6,318,614.25 and 13,644,058.50 is: 29,462,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318,614.25 : 13,644,058.50 = 13,644,058.50 : x
  2. Step 2: Convert to fraction form
    6,318,614.25/13,644,058.50 = 13,644,058.50/x
  3. Step 3: Cross multiply
    6,318,614.25x = 13,644,058.50 × 13,644,058.50
  4. Step 4: Simplify right side
    6,318,614.25x = 186,160,332,351,422.25
  5. Step 5: Solve for x
    x = 186,160,332,351,422.25/6,318,614.25
  6. Step 6: Final answer
    x = 29,462,208.80

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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.