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Finding the Third Proportional to 6,763,602.75 and 10,477,144.50

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Solution

The third proportional to 6,763,602.75 and 10,477,144.50 is: 16,229,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763,602.75 : 10,477,144.50 = 10,477,144.50 : x
  2. Step 2: Convert to fraction form
    6,763,602.75/10,477,144.50 = 10,477,144.50/x
  3. Step 3: Cross multiply
    6,763,602.75x = 10,477,144.50 × 10,477,144.50
  4. Step 4: Simplify right side
    6,763,602.75x = 109,770,556,873,880.25
  5. Step 5: Solve for x
    x = 109,770,556,873,880.25/6,763,602.75
  6. Step 6: Final answer
    x = 16,229,598.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.