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Finding the Third Proportional to 9,296,450 and 13,587,906

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Solution

The third proportional to 9,296,450 and 13,587,906 is: 19,860,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,450 : 13,587,906 = 13,587,906 : x
  2. Step 2: Convert to fraction form
    9,296,450/13,587,906 = 13,587,906/x
  3. Step 3: Cross multiply
    9,296,450x = 13,587,906 × 13,587,906
  4. Step 4: Simplify right side
    9,296,450x = 184,631,189,464,836
  5. Step 5: Solve for x
    x = 184,631,189,464,836/9,296,450
  6. Step 6: Final answer
    x = 19,860,397.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.