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Finding the Third Proportional to 942,344,982 and 2,071,624,305.38

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Solution

The third proportional to 942,344,982 and 2,071,624,305.38 is: 4,554,199,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,344,982 : 2,071,624,305.38 = 2,071,624,305.38 : x
  2. Step 2: Convert to fraction form
    942,344,982/2,071,624,305.38 = 2,071,624,305.38/x
  3. Step 3: Cross multiply
    942,344,982x = 2,071,624,305.38 × 2,071,624,305.38
  4. Step 4: Simplify right side
    942,344,982x = 4,291,627,262,620,451,328
  5. Step 5: Solve for x
    x = 4,291,627,262,620,451,328/942,344,982
  6. Step 6: Final answer
    x = 4,554,199,730.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.