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Finding the Third Proportional to 1,530,471,964 and 2,295,309,348

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Solution

The third proportional to 1,530,471,964 and 2,295,309,348 is: 3,442,366,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,471,964 : 2,295,309,348 = 2,295,309,348 : x
  2. Step 2: Convert to fraction form
    1,530,471,964/2,295,309,348 = 2,295,309,348/x
  3. Step 3: Cross multiply
    1,530,471,964x = 2,295,309,348 × 2,295,309,348
  4. Step 4: Simplify right side
    1,530,471,964x = 5,268,445,003,016,184,832
  5. Step 5: Solve for x
    x = 5,268,445,003,016,184,832/1,530,471,964
  6. Step 6: Final answer
    x = 3,442,366,228.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.