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Finding the Third Proportional to 14,227,758 and 31,220,856

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Solution

The third proportional to 14,227,758 and 31,220,856 is: 68,509,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227,758 : 31,220,856 = 31,220,856 : x
  2. Step 2: Convert to fraction form
    14,227,758/31,220,856 = 31,220,856/x
  3. Step 3: Cross multiply
    14,227,758x = 31,220,856 × 31,220,856
  4. Step 4: Simplify right side
    14,227,758x = 974,741,849,372,736
  5. Step 5: Solve for x
    x = 974,741,849,372,736/14,227,758
  6. Step 6: Final answer
    x = 68,509,869.89

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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.