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Finding the Third Proportional to 1,236,558,567 and 2,666,821,908

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Solution

The third proportional to 1,236,558,567 and 2,666,821,908 is: 5,751,396,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,558,567 : 2,666,821,908 = 2,666,821,908 : x
  2. Step 2: Convert to fraction form
    1,236,558,567/2,666,821,908 = 2,666,821,908/x
  3. Step 3: Cross multiply
    1,236,558,567x = 2,666,821,908 × 2,666,821,908
  4. Step 4: Simplify right side
    1,236,558,567x = 7,111,939,088,988,760,064
  5. Step 5: Solve for x
    x = 7,111,939,088,988,760,064/1,236,558,567
  6. Step 6: Final answer
    x = 5,751,396,883.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.