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Finding the Third Proportional to 1,367,954,192.81 and 2,773,973,318.06

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Solution

The third proportional to 1,367,954,192.81 and 2,773,973,318.06 is: 5,625,135,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,954,192.81 : 2,773,973,318.06 = 2,773,973,318.06 : x
  2. Step 2: Convert to fraction form
    1,367,954,192.81/2,773,973,318.06 = 2,773,973,318.06/x
  3. Step 3: Cross multiply
    1,367,954,192.81x = 2,773,973,318.06 × 2,773,973,318.06
  4. Step 4: Simplify right side
    1,367,954,192.81x = 7,694,927,969,322,676,224
  5. Step 5: Solve for x
    x = 7,694,927,969,322,676,224/1,367,954,192.81
  6. Step 6: Final answer
    x = 5,625,135,702.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.