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Finding the Third Proportional to 14,474,659.50 and 31,827,897

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Solution

The third proportional to 14,474,659.50 and 31,827,897 is: 69,985,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474,659.50 : 31,827,897 = 31,827,897 : x
  2. Step 2: Convert to fraction form
    14,474,659.50/31,827,897 = 31,827,897/x
  3. Step 3: Cross multiply
    14,474,659.50x = 31,827,897 × 31,827,897
  4. Step 4: Simplify right side
    14,474,659.50x = 1,013,015,027,442,609
  5. Step 5: Solve for x
    x = 1,013,015,027,442,609/14,474,659.50
  6. Step 6: Final answer
    x = 69,985,413.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.