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Finding the Third Proportional to 6,385,101 and 14,187,378

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Solution

The third proportional to 6,385,101 and 14,187,378 is: 31,523,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385,101 : 14,187,378 = 14,187,378 : x
  2. Step 2: Convert to fraction form
    6,385,101/14,187,378 = 14,187,378/x
  3. Step 3: Cross multiply
    6,385,101x = 14,187,378 × 14,187,378
  4. Step 4: Simplify right side
    6,385,101x = 201,281,694,514,884
  5. Step 5: Solve for x
    x = 201,281,694,514,884/6,385,101
  6. Step 6: Final answer
    x = 31,523,650.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.