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Finding the Third Proportional to 6,935,824 and 14,894,293

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Solution

The third proportional to 6,935,824 and 14,894,293 is: 31,984,658.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935,824 : 14,894,293 = 14,894,293 : x
  2. Step 2: Convert to fraction form
    6,935,824/14,894,293 = 14,894,293/x
  3. Step 3: Cross multiply
    6,935,824x = 14,894,293 × 14,894,293
  4. Step 4: Simplify right side
    6,935,824x = 221,839,963,969,849
  5. Step 5: Solve for x
    x = 221,839,963,969,849/6,935,824
  6. Step 6: Final answer
    x = 31,984,658.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.