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Finding the Third Proportional to 8,415,711 and 18,406,059

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Solution

The third proportional to 8,415,711 and 18,406,059 is: 40,256,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415,711 : 18,406,059 = 18,406,059 : x
  2. Step 2: Convert to fraction form
    8,415,711/18,406,059 = 18,406,059/x
  3. Step 3: Cross multiply
    8,415,711x = 18,406,059 × 18,406,059
  4. Step 4: Simplify right side
    8,415,711x = 338,783,007,911,481
  5. Step 5: Solve for x
    x = 338,783,007,911,481/8,415,711
  6. Step 6: Final answer
    x = 40,256,017.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.