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Finding the Third Proportional to 4,771,971 and 7,227,420

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Solution

The third proportional to 4,771,971 and 7,227,420 is: 10,946,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771,971 : 7,227,420 = 7,227,420 : x
  2. Step 2: Convert to fraction form
    4,771,971/7,227,420 = 7,227,420/x
  3. Step 3: Cross multiply
    4,771,971x = 7,227,420 × 7,227,420
  4. Step 4: Simplify right side
    4,771,971x = 52,235,599,856,400
  5. Step 5: Solve for x
    x = 52,235,599,856,400/4,771,971
  6. Step 6: Final answer
    x = 10,946,336.40

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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.