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Finding the Third Proportional to 7,111,369 and 11,296,909.50

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Solution

The third proportional to 7,111,369 and 11,296,909.50 is: 17,945,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111,369 : 11,296,909.50 = 11,296,909.50 : x
  2. Step 2: Convert to fraction form
    7,111,369/11,296,909.50 = 11,296,909.50/x
  3. Step 3: Cross multiply
    7,111,369x = 11,296,909.50 × 11,296,909.50
  4. Step 4: Simplify right side
    7,111,369x = 127,620,164,251,190.25
  5. Step 5: Solve for x
    x = 127,620,164,251,190.25/7,111,369
  6. Step 6: Final answer
    x = 17,945,934.78

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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.