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Finding the Third Proportional to 149,457,756 and 323,479,815

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Solution

The third proportional to 149,457,756 and 323,479,815 is: 700,125,530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,457,756 : 323,479,815 = 323,479,815 : x
  2. Step 2: Convert to fraction form
    149,457,756/323,479,815 = 323,479,815/x
  3. Step 3: Cross multiply
    149,457,756x = 323,479,815 × 323,479,815
  4. Step 4: Simplify right side
    149,457,756x = 104,639,190,712,434,224
  5. Step 5: Solve for x
    x = 104,639,190,712,434,224/149,457,756
  6. Step 6: Final answer
    x = 700,125,530.54

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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.