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Finding the Third Proportional to 30,033,040,482 and 45,436,095,396

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Solution

The third proportional to 30,033,040,482 and 45,436,095,396 is: 68,738,919,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,033,040,482 : 45,436,095,396 = 45,436,095,396 : x
  2. Step 2: Convert to fraction form
    30,033,040,482/45,436,095,396 = 45,436,095,396/x
  3. Step 3: Cross multiply
    30,033,040,482x = 45,436,095,396 × 45,436,095,396
  4. Step 4: Simplify right side
    30,033,040,482x = 2,064,438,764,834,412,298,240
  5. Step 5: Solve for x
    x = 2,064,438,764,834,412,298,240/30,033,040,482
  6. Step 6: Final answer
    x = 68,738,919,926.26

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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.