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Finding the Third Proportional to 5,339,353.50 and 11,057,230.13

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Solution

The third proportional to 5,339,353.50 and 11,057,230.13 is: 22,898,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339,353.50 : 11,057,230.13 = 11,057,230.13 : x
  2. Step 2: Convert to fraction form
    5,339,353.50/11,057,230.13 = 11,057,230.13/x
  3. Step 3: Cross multiply
    5,339,353.50x = 11,057,230.13 × 11,057,230.13
  4. Step 4: Simplify right side
    5,339,353.50x = 122,262,338,037,207.52
  5. Step 5: Solve for x
    x = 122,262,338,037,207.52/5,339,353.50
  6. Step 6: Final answer
    x = 22,898,341.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.