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Finding the Third Proportional to 150,648,471,225 and 325,261,840,522

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Solution

The third proportional to 150,648,471,225 and 325,261,840,522 is: 702,265,771,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,648,471,225 : 325,261,840,522 = 325,261,840,522 : x
  2. Step 2: Convert to fraction form
    150,648,471,225/325,261,840,522 = 325,261,840,522/x
  3. Step 3: Cross multiply
    150,648,471,225x = 325,261,840,522 × 325,261,840,522
  4. Step 4: Simplify right side
    150,648,471,225x = 105,795,264,899,758,958,837,760
  5. Step 5: Solve for x
    x = 105,795,264,899,758,958,837,760/150,648,471,225
  6. Step 6: Final answer
    x = 702,265,771,696.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.