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Finding the Third Proportional to 6,856,654 and 14,624,558

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Solution

The third proportional to 6,856,654 and 14,624,558 is: 31,192,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856,654 : 14,624,558 = 14,624,558 : x
  2. Step 2: Convert to fraction form
    6,856,654/14,624,558 = 14,624,558/x
  3. Step 3: Cross multiply
    6,856,654x = 14,624,558 × 14,624,558
  4. Step 4: Simplify right side
    6,856,654x = 213,877,696,695,364
  5. Step 5: Solve for x
    x = 213,877,696,695,364/6,856,654
  6. Step 6: Final answer
    x = 31,192,721.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.