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Finding the Third Proportional to 84,762,880 and 183,074,144

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Solution

The third proportional to 84,762,880 and 183,074,144 is: 395,410,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,762,880 : 183,074,144 = 183,074,144 : x
  2. Step 2: Convert to fraction form
    84,762,880/183,074,144 = 183,074,144/x
  3. Step 3: Cross multiply
    84,762,880x = 183,074,144 × 183,074,144
  4. Step 4: Simplify right side
    84,762,880x = 33,516,142,201,332,736
  5. Step 5: Solve for x
    x = 33,516,142,201,332,736/84,762,880
  6. Step 6: Final answer
    x = 395,410,611.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.