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Finding the Third Proportional to 3,729,829.78 and 8,243,607.94

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Solution

The third proportional to 3,729,829.78 and 8,243,607.94 is: 18,219,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729,829.78 : 8,243,607.94 = 8,243,607.94 : x
  2. Step 2: Convert to fraction form
    3,729,829.78/8,243,607.94 = 8,243,607.94/x
  3. Step 3: Cross multiply
    3,729,829.78x = 8,243,607.94 × 8,243,607.94
  4. Step 4: Simplify right side
    3,729,829.78x = 67,957,071,827,213
  5. Step 5: Solve for x
    x = 67,957,071,827,213/3,729,829.78
  6. Step 6: Final answer
    x = 18,219,885.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.