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Finding the Third Proportional to 1,378,188,008 and 2,118,373,788

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Solution

The third proportional to 1,378,188,008 and 2,118,373,788 is: 3,256,092,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,188,008 : 2,118,373,788 = 2,118,373,788 : x
  2. Step 2: Convert to fraction form
    1,378,188,008/2,118,373,788 = 2,118,373,788/x
  3. Step 3: Cross multiply
    1,378,188,008x = 2,118,373,788 × 2,118,373,788
  4. Step 4: Simplify right side
    1,378,188,008x = 4,487,507,505,685,469,184
  5. Step 5: Solve for x
    x = 4,487,507,505,685,469,184/1,378,188,008
  6. Step 6: Final answer
    x = 3,256,092,405.13

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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.