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Finding the Third Proportional to 8,123,825 and 17,842,054

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Solution

The third proportional to 8,123,825 and 17,842,054 is: 39,185,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123,825 : 17,842,054 = 17,842,054 : x
  2. Step 2: Convert to fraction form
    8,123,825/17,842,054 = 17,842,054/x
  3. Step 3: Cross multiply
    8,123,825x = 17,842,054 × 17,842,054
  4. Step 4: Simplify right side
    8,123,825x = 318,338,890,938,916
  5. Step 5: Solve for x
    x = 318,338,890,938,916/8,123,825
  6. Step 6: Final answer
    x = 39,185,838.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.