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Finding the Third Proportional to 7,072,178,083 and 11,786,253,121

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Solution

The third proportional to 7,072,178,083 and 11,786,253,121 is: 19,642,571,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072,178,083 : 11,786,253,121 = 11,786,253,121 : x
  2. Step 2: Convert to fraction form
    7,072,178,083/11,786,253,121 = 11,786,253,121/x
  3. Step 3: Cross multiply
    7,072,178,083x = 11,786,253,121 × 11,786,253,121
  4. Step 4: Simplify right side
    7,072,178,083x = 138,915,762,632,282,243,072
  5. Step 5: Solve for x
    x = 138,915,762,632,282,243,072/7,072,178,083
  6. Step 6: Final answer
    x = 19,642,571,355.24

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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.