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Finding the Third Proportional to 8,353,005 and 13,291,405

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Solution

The third proportional to 8,353,005 and 13,291,405 is: 21,149,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353,005 : 13,291,405 = 13,291,405 : x
  2. Step 2: Convert to fraction form
    8,353,005/13,291,405 = 13,291,405/x
  3. Step 3: Cross multiply
    8,353,005x = 13,291,405 × 13,291,405
  4. Step 4: Simplify right side
    8,353,005x = 176,661,446,874,025
  5. Step 5: Solve for x
    x = 176,661,446,874,025/8,353,005
  6. Step 6: Final answer
    x = 21,149,448.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.