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Finding the Third Proportional to 4,700,592 and 9,809,856

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Solution

The third proportional to 4,700,592 and 9,809,856 is: 20,472,586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700,592 : 9,809,856 = 9,809,856 : x
  2. Step 2: Convert to fraction form
    4,700,592/9,809,856 = 9,809,856/x
  3. Step 3: Cross multiply
    4,700,592x = 9,809,856 × 9,809,856
  4. Step 4: Simplify right side
    4,700,592x = 96,233,274,740,736
  5. Step 5: Solve for x
    x = 96,233,274,740,736/4,700,592
  6. Step 6: Final answer
    x = 20,472,586.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.