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Finding the Third Proportional to 1,186,809,266 and 2,407,158,244

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Solution

The third proportional to 1,186,809,266 and 2,407,158,244 is: 4,882,343,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,809,266 : 2,407,158,244 = 2,407,158,244 : x
  2. Step 2: Convert to fraction form
    1,186,809,266/2,407,158,244 = 2,407,158,244/x
  3. Step 3: Cross multiply
    1,186,809,266x = 2,407,158,244 × 2,407,158,244
  4. Step 4: Simplify right side
    1,186,809,266x = 5,794,410,811,657,163,776
  5. Step 5: Solve for x
    x = 5,794,410,811,657,163,776/1,186,809,266
  6. Step 6: Final answer
    x = 4,882,343,757.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.