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Finding the Third Proportional to 150,763,435,522 and 326,652,397,412

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Solution

The third proportional to 150,763,435,522 and 326,652,397,412 is: 707,743,149,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,763,435,522 : 326,652,397,412 = 326,652,397,412 : x
  2. Step 2: Convert to fraction form
    150,763,435,522/326,652,397,412 = 326,652,397,412/x
  3. Step 3: Cross multiply
    150,763,435,522x = 326,652,397,412 × 326,652,397,412
  4. Step 4: Simplify right side
    150,763,435,522x = 106,701,788,735,007,180,718,080
  5. Step 5: Solve for x
    x = 106,701,788,735,007,180,718,080/150,763,435,522
  6. Step 6: Final answer
    x = 707,743,149,826.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.