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Finding the Third Proportional to 4,544,980 and 9,728,382

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Solution

The third proportional to 4,544,980 and 9,728,382 is: 20,823,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544,980 : 9,728,382 = 9,728,382 : x
  2. Step 2: Convert to fraction form
    4,544,980/9,728,382 = 9,728,382/x
  3. Step 3: Cross multiply
    4,544,980x = 9,728,382 × 9,728,382
  4. Step 4: Simplify right side
    4,544,980x = 94,641,416,337,924
  5. Step 5: Solve for x
    x = 94,641,416,337,924/4,544,980
  6. Step 6: Final answer
    x = 20,823,285.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.