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Finding the Third Proportional to 31,104,218 and 67,824,652

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Solution

The third proportional to 31,104,218 and 67,824,652 is: 147,895,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104,218 : 67,824,652 = 67,824,652 : x
  2. Step 2: Convert to fraction form
    31,104,218/67,824,652 = 67,824,652/x
  3. Step 3: Cross multiply
    31,104,218x = 67,824,652 × 67,824,652
  4. Step 4: Simplify right side
    31,104,218x = 4,600,183,418,921,104
  5. Step 5: Solve for x
    x = 4,600,183,418,921,104/31,104,218
  6. Step 6: Final answer
    x = 147,895,806.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.