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Finding the Third Proportional to 7,997,864 and 11,428,944

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Solution

The third proportional to 7,997,864 and 11,428,944 is: 16,331,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997,864 : 11,428,944 = 11,428,944 : x
  2. Step 2: Convert to fraction form
    7,997,864/11,428,944 = 11,428,944/x
  3. Step 3: Cross multiply
    7,997,864x = 11,428,944 × 11,428,944
  4. Step 4: Simplify right side
    7,997,864x = 130,620,760,955,136
  5. Step 5: Solve for x
    x = 130,620,760,955,136/7,997,864
  6. Step 6: Final answer
    x = 16,331,955.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.