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Finding the Third Proportional to 4,771,791 and 7,227,184.50

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Solution

The third proportional to 4,771,791 and 7,227,184.50 is: 10,946,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771,791 : 7,227,184.50 = 7,227,184.50 : x
  2. Step 2: Convert to fraction form
    4,771,791/7,227,184.50 = 7,227,184.50/x
  3. Step 3: Cross multiply
    4,771,791x = 7,227,184.50 × 7,227,184.50
  4. Step 4: Simplify right side
    4,771,791x = 52,232,195,797,040.25
  5. Step 5: Solve for x
    x = 52,232,195,797,040.25/4,771,791
  6. Step 6: Final answer
    x = 10,946,035.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.