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Finding the Third Proportional to 1,115,678,615 and 2,432,242,216

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Solution

The third proportional to 1,115,678,615 and 2,432,242,216 is: 5,302,425,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115,678,615 : 2,432,242,216 = 2,432,242,216 : x
  2. Step 2: Convert to fraction form
    1,115,678,615/2,432,242,216 = 2,432,242,216/x
  3. Step 3: Cross multiply
    1,115,678,615x = 2,432,242,216 × 2,432,242,216
  4. Step 4: Simplify right side
    1,115,678,615x = 5,915,802,197,292,591,104
  5. Step 5: Solve for x
    x = 5,915,802,197,292,591,104/1,115,678,615
  6. Step 6: Final answer
    x = 5,302,425,015.37

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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.