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Finding the Third Proportional to 30,332,730,083 and 65,945,033,971

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Solution

The third proportional to 30,332,730,083 and 65,945,033,971 is: 143,368,153,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,332,730,083 : 65,945,033,971 = 65,945,033,971 : x
  2. Step 2: Convert to fraction form
    30,332,730,083/65,945,033,971 = 65,945,033,971/x
  3. Step 3: Cross multiply
    30,332,730,083x = 65,945,033,971 × 65,945,033,971
  4. Step 4: Simplify right side
    30,332,730,083x = 4,348,747,505,436,344,188,928
  5. Step 5: Solve for x
    x = 4,348,747,505,436,344,188,928/30,332,730,083
  6. Step 6: Final answer
    x = 143,368,153,593.06

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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.