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Finding the Third Proportional to 9,508,298.06 and 14,206,471.88

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Solution

The third proportional to 9,508,298.06 and 14,206,471.88 is: 21,226,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508,298.06 : 14,206,471.88 = 14,206,471.88 : x
  2. Step 2: Convert to fraction form
    9,508,298.06/14,206,471.88 = 14,206,471.88/x
  3. Step 3: Cross multiply
    9,508,298.06x = 14,206,471.88 × 14,206,471.88
  4. Step 4: Simplify right side
    9,508,298.06x = 201,823,843,135,166
  5. Step 5: Solve for x
    x = 201,823,843,135,166/9,508,298.06
  6. Step 6: Final answer
    x = 21,226,074.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.