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Finding the Third Proportional to 980,691,682 and 1,462,533,171

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Solution

The third proportional to 980,691,682 and 1,462,533,171 is: 2,181,116,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,691,682 : 1,462,533,171 = 1,462,533,171 : x
  2. Step 2: Convert to fraction form
    980,691,682/1,462,533,171 = 1,462,533,171/x
  3. Step 3: Cross multiply
    980,691,682x = 1,462,533,171 × 1,462,533,171
  4. Step 4: Simplify right side
    980,691,682x = 2,139,003,276,275,315,200
  5. Step 5: Solve for x
    x = 2,139,003,276,275,315,200/980,691,682
  6. Step 6: Final answer
    x = 2,181,116,976.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.