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Finding the Third Proportional to 3,784,017 and 8,272,248

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Solution

The third proportional to 3,784,017 and 8,272,248 is: 18,083,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,017 : 8,272,248 = 8,272,248 : x
  2. Step 2: Convert to fraction form
    3,784,017/8,272,248 = 8,272,248/x
  3. Step 3: Cross multiply
    3,784,017x = 8,272,248 × 8,272,248
  4. Step 4: Simplify right side
    3,784,017x = 68,430,086,973,504
  5. Step 5: Solve for x
    x = 68,430,086,973,504/3,784,017
  6. Step 6: Final answer
    x = 18,083,979.80

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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.