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Finding the Third Proportional to 67,165,731,702 and 146,984,072,940

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Solution

The third proportional to 67,165,731,702 and 146,984,072,940 is: 321,656,850,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,165,731,702 : 146,984,072,940 = 146,984,072,940 : x
  2. Step 2: Convert to fraction form
    67,165,731,702/146,984,072,940 = 146,984,072,940/x
  3. Step 3: Cross multiply
    67,165,731,702x = 146,984,072,940 × 146,984,072,940
  4. Step 4: Simplify right side
    67,165,731,702x = 21,604,317,698,031,240,609,792
  5. Step 5: Solve for x
    x = 21,604,317,698,031,240,609,792/67,165,731,702
  6. Step 6: Final answer
    x = 321,656,850,161.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.