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Finding the Third Proportional to 3,824,926.31 and 8,266,406.27

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Solution

The third proportional to 3,824,926.31 and 8,266,406.27 is: 17,865,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824,926.31 : 8,266,406.27 = 8,266,406.27 : x
  2. Step 2: Convert to fraction form
    3,824,926.31/8,266,406.27 = 8,266,406.27/x
  3. Step 3: Cross multiply
    3,824,926.31x = 8,266,406.27 × 8,266,406.27
  4. Step 4: Simplify right side
    3,824,926.31x = 68,333,472,677,526.86
  5. Step 5: Solve for x
    x = 68,333,472,677,526.86/3,824,926.31
  6. Step 6: Final answer
    x = 17,865,304.35

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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.