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Finding the Third Proportional to 3,149,085,015 and 6,765,502,734

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Solution

The third proportional to 3,149,085,015 and 6,765,502,734 is: 14,535,024,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,085,015 : 6,765,502,734 = 6,765,502,734 : x
  2. Step 2: Convert to fraction form
    3,149,085,015/6,765,502,734 = 6,765,502,734/x
  3. Step 3: Cross multiply
    3,149,085,015x = 6,765,502,734 × 6,765,502,734
  4. Step 4: Simplify right side
    3,149,085,015x = 45,772,027,243,761,475,584
  5. Step 5: Solve for x
    x = 45,772,027,243,761,475,584/3,149,085,015
  6. Step 6: Final answer
    x = 14,535,024,308.88

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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.