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Finding the Third Proportional to 530,821,910.25 and 796,232,946.38

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Solution

The third proportional to 530,821,910.25 and 796,232,946.38 is: 1,194,349,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,821,910.25 : 796,232,946.38 = 796,232,946.38 : x
  2. Step 2: Convert to fraction form
    530,821,910.25/796,232,946.38 = 796,232,946.38/x
  3. Step 3: Cross multiply
    530,821,910.25x = 796,232,946.38 × 796,232,946.38
  4. Step 4: Simplify right side
    530,821,910.25x = 633,986,904,893,013,632
  5. Step 5: Solve for x
    x = 633,986,904,893,013,632/530,821,910.25
  6. Step 6: Final answer
    x = 1,194,349,541.06

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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.