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Finding the Third Proportional to 5,477,827.50 and 8,548,358.63

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Solution

The third proportional to 5,477,827.50 and 8,548,358.63 is: 13,340,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477,827.50 : 8,548,358.63 = 8,548,358.63 : x
  2. Step 2: Convert to fraction form
    5,477,827.50/8,548,358.63 = 8,548,358.63/x
  3. Step 3: Cross multiply
    5,477,827.50x = 8,548,358.63 × 8,548,358.63
  4. Step 4: Simplify right side
    5,477,827.50x = 73,074,435,181,611.89
  5. Step 5: Solve for x
    x = 73,074,435,181,611.89/5,477,827.50
  6. Step 6: Final answer
    x = 13,340,039.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.