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Finding the Third Proportional to 6,942,040 and 15,078,146

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Solution

The third proportional to 6,942,040 and 15,078,146 is: 32,749,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942,040 : 15,078,146 = 15,078,146 : x
  2. Step 2: Convert to fraction form
    6,942,040/15,078,146 = 15,078,146/x
  3. Step 3: Cross multiply
    6,942,040x = 15,078,146 × 15,078,146
  4. Step 4: Simplify right side
    6,942,040x = 227,350,486,797,316
  5. Step 5: Solve for x
    x = 227,350,486,797,316/6,942,040
  6. Step 6: Final answer
    x = 32,749,809.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.