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Finding the Third Proportional to 234,301,811 and 487,996,615

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Solution

The third proportional to 234,301,811 and 487,996,615 is: 1,016,384,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,301,811 : 487,996,615 = 487,996,615 : x
  2. Step 2: Convert to fraction form
    234,301,811/487,996,615 = 487,996,615/x
  3. Step 3: Cross multiply
    234,301,811x = 487,996,615 × 487,996,615
  4. Step 4: Simplify right side
    234,301,811x = 238,140,696,251,458,240
  5. Step 5: Solve for x
    x = 238,140,696,251,458,240/234,301,811
  6. Step 6: Final answer
    x = 1,016,384,360.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.