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Finding the Third Proportional to 6,929,728 and 14,617,728

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Solution

The third proportional to 6,929,728 and 14,617,728 is: 30,834,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929,728 : 14,617,728 = 14,617,728 : x
  2. Step 2: Convert to fraction form
    6,929,728/14,617,728 = 14,617,728/x
  3. Step 3: Cross multiply
    6,929,728x = 14,617,728 × 14,617,728
  4. Step 4: Simplify right side
    6,929,728x = 213,677,971,881,984
  5. Step 5: Solve for x
    x = 213,677,971,881,984/6,929,728
  6. Step 6: Final answer
    x = 30,834,972.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.