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Finding the Third Proportional to 7,072,178,062 and 11,786,253,090

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Solution

The third proportional to 7,072,178,062 and 11,786,253,090 is: 19,642,571,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072,178,062 : 11,786,253,090 = 11,786,253,090 : x
  2. Step 2: Convert to fraction form
    7,072,178,062/11,786,253,090 = 11,786,253,090/x
  3. Step 3: Cross multiply
    7,072,178,062x = 11,786,253,090 × 11,786,253,090
  4. Step 4: Simplify right side
    7,072,178,062x = 138,915,761,901,534,543,872
  5. Step 5: Solve for x
    x = 138,915,761,901,534,543,872/7,072,178,062
  6. Step 6: Final answer
    x = 19,642,571,310.24

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.