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Finding the Third Proportional to 10,431,958 and 15,957,897

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Solution

The third proportional to 10,431,958 and 15,957,897 is: 24,410,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431,958 : 15,957,897 = 15,957,897 : x
  2. Step 2: Convert to fraction form
    10,431,958/15,957,897 = 15,957,897/x
  3. Step 3: Cross multiply
    10,431,958x = 15,957,897 × 15,957,897
  4. Step 4: Simplify right side
    10,431,958x = 254,654,476,662,609
  5. Step 5: Solve for x
    x = 254,654,476,662,609/10,431,958
  6. Step 6: Final answer
    x = 24,410,995.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.