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Finding the Third Proportional to 751,497,102 and 1,554,543,982

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Solution

The third proportional to 751,497,102 and 1,554,543,982 is: 3,215,723,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,497,102 : 1,554,543,982 = 1,554,543,982 : x
  2. Step 2: Convert to fraction form
    751,497,102/1,554,543,982 = 1,554,543,982/x
  3. Step 3: Cross multiply
    751,497,102x = 1,554,543,982 × 1,554,543,982
  4. Step 4: Simplify right side
    751,497,102x = 2,416,606,991,972,416,512
  5. Step 5: Solve for x
    x = 2,416,606,991,972,416,512/751,497,102
  6. Step 6: Final answer
    x = 3,215,723,634.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.