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Finding the Third Proportional to 7,085,440,969 and 15,222,380,508

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Solution

The third proportional to 7,085,440,969 and 15,222,380,508 is: 32,703,803,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085,440,969 : 15,222,380,508 = 15,222,380,508 : x
  2. Step 2: Convert to fraction form
    7,085,440,969/15,222,380,508 = 15,222,380,508/x
  3. Step 3: Cross multiply
    7,085,440,969x = 15,222,380,508 × 15,222,380,508
  4. Step 4: Simplify right side
    7,085,440,969x = 231,720,868,330,338,353,152
  5. Step 5: Solve for x
    x = 231,720,868,330,338,353,152/7,085,440,969
  6. Step 6: Final answer
    x = 32,703,803,382.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.