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Finding the Third Proportional to 30,033,040,483 and 45,436,095,397.50

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Solution

The third proportional to 30,033,040,483 and 45,436,095,397.50 is: 68,738,919,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,033,040,483 : 45,436,095,397.50 = 45,436,095,397.50 : x
  2. Step 2: Convert to fraction form
    30,033,040,483/45,436,095,397.50 = 45,436,095,397.50/x
  3. Step 3: Cross multiply
    30,033,040,483x = 45,436,095,397.50 × 45,436,095,397.50
  4. Step 4: Simplify right side
    30,033,040,483x = 2,064,438,764,970,720,624,640
  5. Step 5: Solve for x
    x = 2,064,438,764,970,720,624,640/30,033,040,483
  6. Step 6: Final answer
    x = 68,738,919,928.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.