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Finding the Third Proportional to 9,803,754 and 21,542,652

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Solution

The third proportional to 9,803,754 and 21,542,652 is: 47,337,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803,754 : 21,542,652 = 21,542,652 : x
  2. Step 2: Convert to fraction form
    9,803,754/21,542,652 = 21,542,652/x
  3. Step 3: Cross multiply
    9,803,754x = 21,542,652 × 21,542,652
  4. Step 4: Simplify right side
    9,803,754x = 464,085,855,193,104
  5. Step 5: Solve for x
    x = 464,085,855,193,104/9,803,754
  6. Step 6: Final answer
    x = 47,337,566.32

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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.