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Finding the Third Proportional to 3,453,999,705 and 5,305,766,105

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Solution

The third proportional to 3,453,999,705 and 5,305,766,105 is: 8,150,305,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453,999,705 : 5,305,766,105 = 5,305,766,105 : x
  2. Step 2: Convert to fraction form
    3,453,999,705/5,305,766,105 = 5,305,766,105/x
  3. Step 3: Cross multiply
    3,453,999,705x = 5,305,766,105 × 5,305,766,105
  4. Step 4: Simplify right side
    3,453,999,705x = 28,151,153,960,966,868,992
  5. Step 5: Solve for x
    x = 28,151,153,960,966,868,992/3,453,999,705
  6. Step 6: Final answer
    x = 8,150,305,838.25

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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.