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Finding the Third Proportional to 1,148,584,119 and 2,505,049,878

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Solution

The third proportional to 1,148,584,119 and 2,505,049,878 is: 5,463,487,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,584,119 : 2,505,049,878 = 2,505,049,878 : x
  2. Step 2: Convert to fraction form
    1,148,584,119/2,505,049,878 = 2,505,049,878/x
  3. Step 3: Cross multiply
    1,148,584,119x = 2,505,049,878 × 2,505,049,878
  4. Step 4: Simplify right side
    1,148,584,119x = 6,275,274,891,267,814,400
  5. Step 5: Solve for x
    x = 6,275,274,891,267,814,400/1,148,584,119
  6. Step 6: Final answer
    x = 5,463,487,425.48

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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.