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Finding the Third Proportional to 6,826,816 and 14,939,264

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Solution

The third proportional to 6,826,816 and 14,939,264 is: 32,691,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826,816 : 14,939,264 = 14,939,264 : x
  2. Step 2: Convert to fraction form
    6,826,816/14,939,264 = 14,939,264/x
  3. Step 3: Cross multiply
    6,826,816x = 14,939,264 × 14,939,264
  4. Step 4: Simplify right side
    6,826,816x = 223,181,608,861,696
  5. Step 5: Solve for x
    x = 223,181,608,861,696/6,826,816
  6. Step 6: Final answer
    x = 32,691,903.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.