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Finding the Third Proportional to 530,822,094 and 796,233,210

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Solution

The third proportional to 530,822,094 and 796,233,210 is: 1,194,349,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,822,094 : 796,233,210 = 796,233,210 : x
  2. Step 2: Convert to fraction form
    530,822,094/796,233,210 = 796,233,210/x
  3. Step 3: Cross multiply
    530,822,094x = 796,233,210 × 796,233,210
  4. Step 4: Simplify right side
    530,822,094x = 633,987,324,706,904,064
  5. Step 5: Solve for x
    x = 633,987,324,706,904,064/530,822,094
  6. Step 6: Final answer
    x = 1,194,349,918.50

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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.