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Finding the Third Proportional to 3,728,833 and 5,643,663.50

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Solution

The third proportional to 3,728,833 and 5,643,663.50 is: 8,541,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728,833 : 5,643,663.50 = 5,643,663.50 : x
  2. Step 2: Convert to fraction form
    3,728,833/5,643,663.50 = 5,643,663.50/x
  3. Step 3: Cross multiply
    3,728,833x = 5,643,663.50 × 5,643,663.50
  4. Step 4: Simplify right side
    3,728,833x = 31,850,937,701,232.25
  5. Step 5: Solve for x
    x = 31,850,937,701,232.25/3,728,833
  6. Step 6: Final answer
    x = 8,541,797.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.