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Finding the Third Proportional to 4,771,816 and 7,227,220

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Solution

The third proportional to 4,771,816 and 7,227,220 is: 10,946,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771,816 : 7,227,220 = 7,227,220 : x
  2. Step 2: Convert to fraction form
    4,771,816/7,227,220 = 7,227,220/x
  3. Step 3: Cross multiply
    4,771,816x = 7,227,220 × 7,227,220
  4. Step 4: Simplify right side
    4,771,816x = 52,232,708,928,400
  5. Step 5: Solve for x
    x = 52,232,708,928,400/4,771,816
  6. Step 6: Final answer
    x = 10,946,086.13

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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.