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Finding the Third Proportional to 5,639,680 and 8,039,616

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Solution

The third proportional to 5,639,680 and 8,039,616 is: 11,460,832.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639,680 : 8,039,616 = 8,039,616 : x
  2. Step 2: Convert to fraction form
    5,639,680/8,039,616 = 8,039,616/x
  3. Step 3: Cross multiply
    5,639,680x = 8,039,616 × 8,039,616
  4. Step 4: Simplify right side
    5,639,680x = 64,635,425,427,456
  5. Step 5: Solve for x
    x = 64,635,425,427,456/5,639,680
  6. Step 6: Final answer
    x = 11,460,832.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.