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Finding the Third Proportional to 1,268,382,465 and 1,940,483,151

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Solution

The third proportional to 1,268,382,465 and 1,940,483,151 is: 2,968,721,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,382,465 : 1,940,483,151 = 1,940,483,151 : x
  2. Step 2: Convert to fraction form
    1,268,382,465/1,940,483,151 = 1,940,483,151/x
  3. Step 3: Cross multiply
    1,268,382,465x = 1,940,483,151 × 1,940,483,151
  4. Step 4: Simplify right side
    1,268,382,465x = 3,765,474,859,314,888,704
  5. Step 5: Solve for x
    x = 3,765,474,859,314,888,704/1,268,382,465
  6. Step 6: Final answer
    x = 2,968,721,945.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.