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Finding the Third Proportional to 5,477,829.75 and 8,548,364.25

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Solution

The third proportional to 5,477,829.75 and 8,548,364.25 is: 13,340,051.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477,829.75 : 8,548,364.25 = 8,548,364.25 : x
  2. Step 2: Convert to fraction form
    5,477,829.75/8,548,364.25 = 8,548,364.25/x
  3. Step 3: Cross multiply
    5,477,829.75x = 8,548,364.25 × 8,548,364.25
  4. Step 4: Simplify right side
    5,477,829.75x = 73,074,531,350,678.06
  5. Step 5: Solve for x
    x = 73,074,531,350,678.06/5,477,829.75
  6. Step 6: Final answer
    x = 13,340,051.57

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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.