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Finding the Third Proportional to 1,949,244,615 and 4,255,683,912

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Solution

The third proportional to 1,949,244,615 and 4,255,683,912 is: 9,291,212,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,244,615 : 4,255,683,912 = 4,255,683,912 : x
  2. Step 2: Convert to fraction form
    1,949,244,615/4,255,683,912 = 4,255,683,912/x
  3. Step 3: Cross multiply
    1,949,244,615x = 4,255,683,912 × 4,255,683,912
  4. Step 4: Simplify right side
    1,949,244,615x = 18,110,845,558,855,624,704
  5. Step 5: Solve for x
    x = 18,110,845,558,855,624,704/1,949,244,615
  6. Step 6: Final answer
    x = 9,291,212,308.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.