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Finding the Third Proportional to 8,415,714 and 18,406,065

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Solution

The third proportional to 8,415,714 and 18,406,065 is: 40,256,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415,714 : 18,406,065 = 18,406,065 : x
  2. Step 2: Convert to fraction form
    8,415,714/18,406,065 = 18,406,065/x
  3. Step 3: Cross multiply
    8,415,714x = 18,406,065 × 18,406,065
  4. Step 4: Simplify right side
    8,415,714x = 338,783,228,784,225
  5. Step 5: Solve for x
    x = 338,783,228,784,225/8,415,714
  6. Step 6: Final answer
    x = 40,256,029.23

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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.