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Finding the Third Proportional to 10,814,136 and 16,738,896

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Solution

The third proportional to 10,814,136 and 16,738,896 is: 25,909,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814,136 : 16,738,896 = 16,738,896 : x
  2. Step 2: Convert to fraction form
    10,814,136/16,738,896 = 16,738,896/x
  3. Step 3: Cross multiply
    10,814,136x = 16,738,896 × 16,738,896
  4. Step 4: Simplify right side
    10,814,136x = 280,190,639,298,816
  5. Step 5: Solve for x
    x = 280,190,639,298,816/10,814,136
  6. Step 6: Final answer
    x = 25,909,664.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.