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Finding the Third Proportional to 207,244,756 and 446,772,912

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Solution

The third proportional to 207,244,756 and 446,772,912 is: 963,141,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,244,756 : 446,772,912 = 446,772,912 : x
  2. Step 2: Convert to fraction form
    207,244,756/446,772,912 = 446,772,912/x
  3. Step 3: Cross multiply
    207,244,756x = 446,772,912 × 446,772,912
  4. Step 4: Simplify right side
    207,244,756x = 199,606,034,896,959,744
  5. Step 5: Solve for x
    x = 199,606,034,896,959,744/207,244,756
  6. Step 6: Final answer
    x = 963,141,546.98

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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.