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Finding the Third Proportional to 3,149,084,877 and 6,765,502,454

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Solution

The third proportional to 3,149,084,877 and 6,765,502,454 is: 14,535,023,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,084,877 : 6,765,502,454 = 6,765,502,454 : x
  2. Step 2: Convert to fraction form
    3,149,084,877/6,765,502,454 = 6,765,502,454/x
  3. Step 3: Cross multiply
    3,149,084,877x = 6,765,502,454 × 6,765,502,454
  4. Step 4: Simplify right side
    3,149,084,877x = 45,772,023,455,080,022,016
  5. Step 5: Solve for x
    x = 45,772,023,455,080,022,016/3,149,084,877
  6. Step 6: Final answer
    x = 14,535,023,742.73

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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.