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Finding the Third Proportional to 3,880,536 and 8,163,291

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Solution

The third proportional to 3,880,536 and 8,163,291 is: 17,172,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880,536 : 8,163,291 = 8,163,291 : x
  2. Step 2: Convert to fraction form
    3,880,536/8,163,291 = 8,163,291/x
  3. Step 3: Cross multiply
    3,880,536x = 8,163,291 × 8,163,291
  4. Step 4: Simplify right side
    3,880,536x = 66,639,319,950,681
  5. Step 5: Solve for x
    x = 66,639,319,950,681/3,880,536
  6. Step 6: Final answer
    x = 17,172,710.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.