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Finding the Third Proportional to 8,243,257.78 and 17,620,958.53

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Solution

The third proportional to 8,243,257.78 and 17,620,958.53 is: 37,666,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243,257.78 : 17,620,958.53 = 17,620,958.53 : x
  2. Step 2: Convert to fraction form
    8,243,257.78/17,620,958.53 = 17,620,958.53/x
  3. Step 3: Cross multiply
    8,243,257.78x = 17,620,958.53 × 17,620,958.53
  4. Step 4: Simplify right side
    8,243,257.78x = 310,498,179,560,032.19
  5. Step 5: Solve for x
    x = 310,498,179,560,032.19/8,243,257.78
  6. Step 6: Final answer
    x = 37,666,925.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.