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Finding the Third Proportional to 7,430,288 and 11,337,608

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Solution

The third proportional to 7,430,288 and 11,337,608 is: 17,299,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430,288 : 11,337,608 = 11,337,608 : x
  2. Step 2: Convert to fraction form
    7,430,288/11,337,608 = 11,337,608/x
  3. Step 3: Cross multiply
    7,430,288x = 11,337,608 × 11,337,608
  4. Step 4: Simplify right side
    7,430,288x = 128,541,355,161,664
  5. Step 5: Solve for x
    x = 128,541,355,161,664/7,430,288
  6. Step 6: Final answer
    x = 17,299,646.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.