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Finding the Third Proportional to 624,380,516.44 and 1,388,362,659.75

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Solution

The third proportional to 624,380,516.44 and 1,388,362,659.75 is: 3,087,141,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,380,516.44 : 1,388,362,659.75 = 1,388,362,659.75 : x
  2. Step 2: Convert to fraction form
    624,380,516.44/1,388,362,659.75 = 1,388,362,659.75/x
  3. Step 3: Cross multiply
    624,380,516.44x = 1,388,362,659.75 × 1,388,362,659.75
  4. Step 4: Simplify right side
    624,380,516.44x = 1,927,550,874,988,094,208
  5. Step 5: Solve for x
    x = 1,927,550,874,988,094,208/624,380,516.44
  6. Step 6: Final answer
    x = 3,087,141,293.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.