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Finding the Third Proportional to 6,448,995 and 14,076,846

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Solution

The third proportional to 6,448,995 and 14,076,846 is: 30,726,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448,995 : 14,076,846 = 14,076,846 : x
  2. Step 2: Convert to fraction form
    6,448,995/14,076,846 = 14,076,846/x
  3. Step 3: Cross multiply
    6,448,995x = 14,076,846 × 14,076,846
  4. Step 4: Simplify right side
    6,448,995x = 198,157,593,307,716
  5. Step 5: Solve for x
    x = 198,157,593,307,716/6,448,995
  6. Step 6: Final answer
    x = 30,726,895.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.