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Finding the Third Proportional to 6,850,376 and 14,906,690

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Solution

The third proportional to 6,850,376 and 14,906,690 is: 32,437,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850,376 : 14,906,690 = 14,906,690 : x
  2. Step 2: Convert to fraction form
    6,850,376/14,906,690 = 14,906,690/x
  3. Step 3: Cross multiply
    6,850,376x = 14,906,690 × 14,906,690
  4. Step 4: Simplify right side
    6,850,376x = 222,209,406,756,100
  5. Step 5: Solve for x
    x = 222,209,406,756,100/6,850,376
  6. Step 6: Final answer
    x = 32,437,548.94

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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.