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Finding the Third Proportional to 3,453,999,703 and 5,305,766,102

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Solution

The third proportional to 3,453,999,703 and 5,305,766,102 is: 8,150,305,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453,999,703 : 5,305,766,102 = 5,305,766,102 : x
  2. Step 2: Convert to fraction form
    3,453,999,703/5,305,766,102 = 5,305,766,102/x
  3. Step 3: Cross multiply
    3,453,999,703x = 5,305,766,102 × 5,305,766,102
  4. Step 4: Simplify right side
    3,453,999,703x = 28,151,153,929,132,273,664
  5. Step 5: Solve for x
    x = 28,151,153,929,132,273,664/3,453,999,703
  6. Step 6: Final answer
    x = 8,150,305,833.75

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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.