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Finding the Third Proportional to 7,832,609 and 11,408,066

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Solution

The third proportional to 7,832,609 and 11,408,066 is: 16,615,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832,609 : 11,408,066 = 11,408,066 : x
  2. Step 2: Convert to fraction form
    7,832,609/11,408,066 = 11,408,066/x
  3. Step 3: Cross multiply
    7,832,609x = 11,408,066 × 11,408,066
  4. Step 4: Simplify right side
    7,832,609x = 130,143,969,860,356
  5. Step 5: Solve for x
    x = 130,143,969,860,356/7,832,609
  6. Step 6: Final answer
    x = 16,615,660.23

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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.