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Finding the Third Proportional to 4,493,741 and 9,828,205

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Solution

The third proportional to 4,493,741 and 9,828,205 is: 21,495,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493,741 : 9,828,205 = 9,828,205 : x
  2. Step 2: Convert to fraction form
    4,493,741/9,828,205 = 9,828,205/x
  3. Step 3: Cross multiply
    4,493,741x = 9,828,205 × 9,828,205
  4. Step 4: Simplify right side
    4,493,741x = 96,593,613,522,025
  5. Step 5: Solve for x
    x = 96,593,613,522,025/4,493,741
  6. Step 6: Final answer
    x = 21,495,144.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.