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Finding the Third Proportional to 8,109,746 and 11,337,903

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Solution

The third proportional to 8,109,746 and 11,337,903 is: 15,851,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109,746 : 11,337,903 = 11,337,903 : x
  2. Step 2: Convert to fraction form
    8,109,746/11,337,903 = 11,337,903/x
  3. Step 3: Cross multiply
    8,109,746x = 11,337,903 × 11,337,903
  4. Step 4: Simplify right side
    8,109,746x = 128,548,044,437,409
  5. Step 5: Solve for x
    x = 128,548,044,437,409/8,109,746
  6. Step 6: Final answer
    x = 15,851,056.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.