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Finding the Third Proportional to 4,680,471 and 6,571,827

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Solution

The third proportional to 4,680,471 and 6,571,827 is: 9,227,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680,471 : 6,571,827 = 6,571,827 : x
  2. Step 2: Convert to fraction form
    4,680,471/6,571,827 = 6,571,827/x
  3. Step 3: Cross multiply
    4,680,471x = 6,571,827 × 6,571,827
  4. Step 4: Simplify right side
    4,680,471x = 43,188,910,117,929
  5. Step 5: Solve for x
    x = 43,188,910,117,929/4,680,471
  6. Step 6: Final answer
    x = 9,227,470.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.