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Finding the Third Proportional to 5,201,059.78 and 8,283,207.66

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Solution

The third proportional to 5,201,059.78 and 8,283,207.66 is: 13,191,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201,059.78 : 8,283,207.66 = 8,283,207.66 : x
  2. Step 2: Convert to fraction form
    5,201,059.78/8,283,207.66 = 8,283,207.66/x
  3. Step 3: Cross multiply
    5,201,059.78x = 8,283,207.66 × 8,283,207.66
  4. Step 4: Simplify right side
    5,201,059.78x = 68,611,529,076,558.62
  5. Step 5: Solve for x
    x = 68,611,529,076,558.62/5,201,059.78
  6. Step 6: Final answer
    x = 13,191,836.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.