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Finding the Third Proportional to 6,523,574 and 13,886,954

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Solution

The third proportional to 6,523,574 and 13,886,954 is: 29,561,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523,574 : 13,886,954 = 13,886,954 : x
  2. Step 2: Convert to fraction form
    6,523,574/13,886,954 = 13,886,954/x
  3. Step 3: Cross multiply
    6,523,574x = 13,886,954 × 13,886,954
  4. Step 4: Simplify right side
    6,523,574x = 192,847,491,398,116
  5. Step 5: Solve for x
    x = 192,847,491,398,116/6,523,574
  6. Step 6: Final answer
    x = 29,561,631.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.