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Finding the Third Proportional to 1,211,485,290 and 2,635,235,338

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Solution

The third proportional to 1,211,485,290 and 2,635,235,338 is: 5,732,191,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,485,290 : 2,635,235,338 = 2,635,235,338 : x
  2. Step 2: Convert to fraction form
    1,211,485,290/2,635,235,338 = 2,635,235,338/x
  3. Step 3: Cross multiply
    1,211,485,290x = 2,635,235,338 × 2,635,235,338
  4. Step 4: Simplify right side
    1,211,485,290x = 6,944,465,286,643,974,144
  5. Step 5: Solve for x
    x = 6,944,465,286,643,974,144/1,211,485,290
  6. Step 6: Final answer
    x = 5,732,191,173.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.