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Finding the Third Proportional to 931,262,738 and 2,027,862,678

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Solution

The third proportional to 931,262,738 and 2,027,862,678 is: 4,415,753,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,262,738 : 2,027,862,678 = 2,027,862,678 : x
  2. Step 2: Convert to fraction form
    931,262,738/2,027,862,678 = 2,027,862,678/x
  3. Step 3: Cross multiply
    931,262,738x = 2,027,862,678 × 2,027,862,678
  4. Step 4: Simplify right side
    931,262,738x = 4,112,227,040,825,331,712
  5. Step 5: Solve for x
    x = 4,112,227,040,825,331,712/931,262,738
  6. Step 6: Final answer
    x = 4,415,753,871.63

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Why These Related Problems?

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