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Finding the Third Proportional to 1,127,201,876 and 1,811,971,113

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Solution

The third proportional to 1,127,201,876 and 1,811,971,113 is: 2,912,734,075.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,201,876 : 1,811,971,113 = 1,811,971,113 : x
  2. Step 2: Convert to fraction form
    1,127,201,876/1,811,971,113 = 1,811,971,113/x
  3. Step 3: Cross multiply
    1,127,201,876x = 1,811,971,113 × 1,811,971,113
  4. Step 4: Simplify right side
    1,127,201,876x = 3,283,239,314,346,458,624
  5. Step 5: Solve for x
    x = 3,283,239,314,346,458,624/1,127,201,876
  6. Step 6: Final answer
    x = 2,912,734,075.64

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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.