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Finding the Third Proportional to 9,683,728 and 20,970,606

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Solution

The third proportional to 9,683,728 and 20,970,606 is: 45,412,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683,728 : 20,970,606 = 20,970,606 : x
  2. Step 2: Convert to fraction form
    9,683,728/20,970,606 = 20,970,606/x
  3. Step 3: Cross multiply
    9,683,728x = 20,970,606 × 20,970,606
  4. Step 4: Simplify right side
    9,683,728x = 439,766,316,007,236
  5. Step 5: Solve for x
    x = 439,766,316,007,236/9,683,728
  6. Step 6: Final answer
    x = 45,412,914.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.