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Finding the Third Proportional to 4,371,469,002 and 6,715,111,092

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Solution

The third proportional to 4,371,469,002 and 6,715,111,092 is: 10,315,232,009.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,371,469,002 : 6,715,111,092 = 6,715,111,092 : x
  2. Step 2: Convert to fraction form
    4,371,469,002/6,715,111,092 = 6,715,111,092/x
  3. Step 3: Cross multiply
    4,371,469,002x = 6,715,111,092 × 6,715,111,092
  4. Step 4: Simplify right side
    4,371,469,002x = 45,092,716,977,901,428,736
  5. Step 5: Solve for x
    x = 45,092,716,977,901,428,736/4,371,469,002
  6. Step 6: Final answer
    x = 10,315,232,009.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.