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Finding the Third Proportional to 307,417,382.25 and 669,418,169.25

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Solution

The third proportional to 307,417,382.25 and 669,418,169.25 is: 1,457,694,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,417,382.25 : 669,418,169.25 = 669,418,169.25 : x
  2. Step 2: Convert to fraction form
    307,417,382.25/669,418,169.25 = 669,418,169.25/x
  3. Step 3: Cross multiply
    307,417,382.25x = 669,418,169.25 × 669,418,169.25
  4. Step 4: Simplify right side
    307,417,382.25x = 448,120,685,322,021,632
  5. Step 5: Solve for x
    x = 448,120,685,322,021,632/307,417,382.25
  6. Step 6: Final answer
    x = 1,457,694,688.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.