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Finding the Third Proportional to 4,472,533 and 9,823,705

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Solution

The third proportional to 4,472,533 and 9,823,705 is: 21,577,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472,533 : 9,823,705 = 9,823,705 : x
  2. Step 2: Convert to fraction form
    4,472,533/9,823,705 = 9,823,705/x
  3. Step 3: Cross multiply
    4,472,533x = 9,823,705 × 9,823,705
  4. Step 4: Simplify right side
    4,472,533x = 96,505,179,927,025
  5. Step 5: Solve for x
    x = 96,505,179,927,025/4,472,533
  6. Step 6: Final answer
    x = 21,577,298.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.