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Finding the Third Proportional to 530,821,914.75 and 796,232,955.38

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Solution

The third proportional to 530,821,914.75 and 796,232,955.38 is: 1,194,349,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,821,914.75 : 796,232,955.38 = 796,232,955.38 : x
  2. Step 2: Convert to fraction form
    530,821,914.75/796,232,955.38 = 796,232,955.38/x
  3. Step 3: Cross multiply
    530,821,914.75x = 796,232,955.38 × 796,232,955.38
  4. Step 4: Simplify right side
    530,821,914.75x = 633,986,919,225,206,784
  5. Step 5: Solve for x
    x = 633,986,919,225,206,784/530,821,914.75
  6. Step 6: Final answer
    x = 1,194,349,557.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.