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Finding the Third Proportional to 483,703,926.75 and 1,057,942,842.75

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Solution

The third proportional to 483,703,926.75 and 1,057,942,842.75 is: 2,313,901,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,703,926.75 : 1,057,942,842.75 = 1,057,942,842.75 : x
  2. Step 2: Convert to fraction form
    483,703,926.75/1,057,942,842.75 = 1,057,942,842.75/x
  3. Step 3: Cross multiply
    483,703,926.75x = 1,057,942,842.75 × 1,057,942,842.75
  4. Step 4: Simplify right side
    483,703,926.75x = 1,119,243,058,525,951,232
  5. Step 5: Solve for x
    x = 1,119,243,058,525,951,232/483,703,926.75
  6. Step 6: Final answer
    x = 2,313,901,121.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.