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Finding the Third Proportional to 8,384,040 and 17,963,256

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Solution

The third proportional to 8,384,040 and 17,963,256 is: 38,487,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384,040 : 17,963,256 = 17,963,256 : x
  2. Step 2: Convert to fraction form
    8,384,040/17,963,256 = 17,963,256/x
  3. Step 3: Cross multiply
    8,384,040x = 17,963,256 × 17,963,256
  4. Step 4: Simplify right side
    8,384,040x = 322,678,566,121,536
  5. Step 5: Solve for x
    x = 322,678,566,121,536/8,384,040
  6. Step 6: Final answer
    x = 38,487,240.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.