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Finding the Third Proportional to 1,127,201,863 and 1,811,971,100

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Solution

The third proportional to 1,127,201,863 and 1,811,971,100 is: 2,912,734,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,201,863 : 1,811,971,100 = 1,811,971,100 : x
  2. Step 2: Convert to fraction form
    1,127,201,863/1,811,971,100 = 1,811,971,100/x
  3. Step 3: Cross multiply
    1,127,201,863x = 1,811,971,100 × 1,811,971,100
  4. Step 4: Simplify right side
    1,127,201,863x = 3,283,239,267,235,210,240
  5. Step 5: Solve for x
    x = 3,283,239,267,235,210,240/1,127,201,863
  6. Step 6: Final answer
    x = 2,912,734,067.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.