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Finding the Third Proportional to 3,791,591,254 and 8,243,129,231

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Solution

The third proportional to 3,791,591,254 and 8,243,129,231 is: 17,921,019,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791,591,254 : 8,243,129,231 = 8,243,129,231 : x
  2. Step 2: Convert to fraction form
    3,791,591,254/8,243,129,231 = 8,243,129,231/x
  3. Step 3: Cross multiply
    3,791,591,254x = 8,243,129,231 × 8,243,129,231
  4. Step 4: Simplify right side
    3,791,591,254x = 67,949,179,518,966,652,928
  5. Step 5: Solve for x
    x = 67,949,179,518,966,652,928/3,791,591,254
  6. Step 6: Final answer
    x = 17,921,019,162.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.