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Finding the Third Proportional to 5,038,703,456 and 7,092,512,832

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Solution

The third proportional to 5,038,703,456 and 7,092,512,832 is: 9,983,468,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038,703,456 : 7,092,512,832 = 7,092,512,832 : x
  2. Step 2: Convert to fraction form
    5,038,703,456/7,092,512,832 = 7,092,512,832/x
  3. Step 3: Cross multiply
    5,038,703,456x = 7,092,512,832 × 7,092,512,832
  4. Step 4: Simplify right side
    5,038,703,456x = 50,303,738,272,084,656,128
  5. Step 5: Solve for x
    x = 50,303,738,272,084,656,128/5,038,703,456
  6. Step 6: Final answer
    x = 9,983,468,706.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.