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Finding the Third Proportional to 6,669,327,702 and 14,201,231,530

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Solution

The third proportional to 6,669,327,702 and 14,201,231,530 is: 30,239,176,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669,327,702 : 14,201,231,530 = 14,201,231,530 : x
  2. Step 2: Convert to fraction form
    6,669,327,702/14,201,231,530 = 14,201,231,530/x
  3. Step 3: Cross multiply
    6,669,327,702x = 14,201,231,530 × 14,201,231,530
  4. Step 4: Simplify right side
    6,669,327,702x = 201,674,976,968,666,152,960
  5. Step 5: Solve for x
    x = 201,674,976,968,666,152,960/6,669,327,702
  6. Step 6: Final answer
    x = 30,239,176,417.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.