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Finding the Third Proportional to 1,744,269,261.75 and 2,681,066,913

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Solution

The third proportional to 1,744,269,261.75 and 2,681,066,913 is: 4,120,992,067.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,269,261.75 : 2,681,066,913 = 2,681,066,913 : x
  2. Step 2: Convert to fraction form
    1,744,269,261.75/2,681,066,913 = 2,681,066,913/x
  3. Step 3: Cross multiply
    1,744,269,261.75x = 2,681,066,913 × 2,681,066,913
  4. Step 4: Simplify right side
    1,744,269,261.75x = 7,188,119,791,983,349,760
  5. Step 5: Solve for x
    x = 7,188,119,791,983,349,760/1,744,269,261.75
  6. Step 6: Final answer
    x = 4,120,992,067.92

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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.