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Finding the Third Proportional to 5,254,786.50 and 11,319,897

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Solution

The third proportional to 5,254,786.50 and 11,319,897 is: 24,385,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254,786.50 : 11,319,897 = 11,319,897 : x
  2. Step 2: Convert to fraction form
    5,254,786.50/11,319,897 = 11,319,897/x
  3. Step 3: Cross multiply
    5,254,786.50x = 11,319,897 × 11,319,897
  4. Step 4: Simplify right side
    5,254,786.50x = 128,140,068,090,609
  5. Step 5: Solve for x
    x = 128,140,068,090,609/5,254,786.50
  6. Step 6: Final answer
    x = 24,385,399.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.