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Finding the Third Proportional to 8,254,686 and 11,209,654.50

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Solution

The third proportional to 8,254,686 and 11,209,654.50 is: 15,222,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254,686 : 11,209,654.50 = 11,209,654.50 : x
  2. Step 2: Convert to fraction form
    8,254,686/11,209,654.50 = 11,209,654.50/x
  3. Step 3: Cross multiply
    8,254,686x = 11,209,654.50 × 11,209,654.50
  4. Step 4: Simplify right side
    8,254,686x = 125,656,354,009,370.25
  5. Step 5: Solve for x
    x = 125,656,354,009,370.25/8,254,686
  6. Step 6: Final answer
    x = 15,222,426.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.