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Finding the Third Proportional to 2,555,627,843 and 3,925,757,301

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Solution

The third proportional to 2,555,627,843 and 3,925,757,301 is: 6,030,443,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555,627,843 : 3,925,757,301 = 3,925,757,301 : x
  2. Step 2: Convert to fraction form
    2,555,627,843/3,925,757,301 = 3,925,757,301/x
  3. Step 3: Cross multiply
    2,555,627,843x = 3,925,757,301 × 3,925,757,301
  4. Step 4: Simplify right side
    2,555,627,843x = 15,411,570,386,354,804,736
  5. Step 5: Solve for x
    x = 15,411,570,386,354,804,736/2,555,627,843
  6. Step 6: Final answer
    x = 6,030,443,919.51

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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.