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Finding the Third Proportional to 2,883,689.50 and 6,807,224.50

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Solution

The third proportional to 2,883,689.50 and 6,807,224.50 is: 16,069,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883,689.50 : 6,807,224.50 = 6,807,224.50 : x
  2. Step 2: Convert to fraction form
    2,883,689.50/6,807,224.50 = 6,807,224.50/x
  3. Step 3: Cross multiply
    2,883,689.50x = 6,807,224.50 × 6,807,224.50
  4. Step 4: Simplify right side
    2,883,689.50x = 46,338,305,393,400.25
  5. Step 5: Solve for x
    x = 46,338,305,393,400.25/2,883,689.50
  6. Step 6: Final answer
    x = 16,069,103.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.