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Finding the Third Proportional to 2,555,627,840 and 3,925,757,296

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Solution

The third proportional to 2,555,627,840 and 3,925,757,296 is: 6,030,443,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555,627,840 : 3,925,757,296 = 3,925,757,296 : x
  2. Step 2: Convert to fraction form
    2,555,627,840/3,925,757,296 = 3,925,757,296/x
  3. Step 3: Cross multiply
    2,555,627,840x = 3,925,757,296 × 3,925,757,296
  4. Step 4: Simplify right side
    2,555,627,840x = 15,411,570,347,097,231,360
  5. Step 5: Solve for x
    x = 15,411,570,347,097,231,360/2,555,627,840
  6. Step 6: Final answer
    x = 6,030,443,911.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.