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Finding the Third Proportional to 2,265,224,890 and 5,339,764,886

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Solution

The third proportional to 2,265,224,890 and 5,339,764,886 is: 12,587,310,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265,224,890 : 5,339,764,886 = 5,339,764,886 : x
  2. Step 2: Convert to fraction form
    2,265,224,890/5,339,764,886 = 5,339,764,886/x
  3. Step 3: Cross multiply
    2,265,224,890x = 5,339,764,886 × 5,339,764,886
  4. Step 4: Simplify right side
    2,265,224,890x = 28,513,089,037,758,590,976
  5. Step 5: Solve for x
    x = 28,513,089,037,758,590,976/2,265,224,890
  6. Step 6: Final answer
    x = 12,587,310,497.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.