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Finding the Third Proportional to 1,744,269,287 and 2,681,066,949

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Solution

The third proportional to 1,744,269,287 and 2,681,066,949 is: 4,120,992,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,269,287 : 2,681,066,949 = 2,681,066,949 : x
  2. Step 2: Convert to fraction form
    1,744,269,287/2,681,066,949 = 2,681,066,949/x
  3. Step 3: Cross multiply
    1,744,269,287x = 2,681,066,949 × 2,681,066,949
  4. Step 4: Simplify right side
    1,744,269,287x = 7,188,119,985,020,168,192
  5. Step 5: Solve for x
    x = 7,188,119,985,020,168,192/1,744,269,287
  6. Step 6: Final answer
    x = 4,120,992,118.93

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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.