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Finding the Third Proportional to 1,744,269,285 and 2,681,066,946

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Solution

The third proportional to 1,744,269,285 and 2,681,066,946 is: 4,120,992,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,269,285 : 2,681,066,946 = 2,681,066,946 : x
  2. Step 2: Convert to fraction form
    1,744,269,285/2,681,066,946 = 2,681,066,946/x
  3. Step 3: Cross multiply
    1,744,269,285x = 2,681,066,946 × 2,681,066,946
  4. Step 4: Simplify right side
    1,744,269,285x = 7,188,119,968,933,767,168
  5. Step 5: Solve for x
    x = 7,188,119,968,933,767,168/1,744,269,285
  6. Step 6: Final answer
    x = 4,120,992,114.43

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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.