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Finding the Third Proportional to 777,169,092 and 1,683,478,536

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Solution

The third proportional to 777,169,092 and 1,683,478,536 is: 3,646,696,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,169,092 : 1,683,478,536 = 1,683,478,536 : x
  2. Step 2: Convert to fraction form
    777,169,092/1,683,478,536 = 1,683,478,536/x
  3. Step 3: Cross multiply
    777,169,092x = 1,683,478,536 × 1,683,478,536
  4. Step 4: Simplify right side
    777,169,092x = 2,834,099,981,172,703,232
  5. Step 5: Solve for x
    x = 2,834,099,981,172,703,232/777,169,092
  6. Step 6: Final answer
    x = 3,646,696,723.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.