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Finding the Third Proportional to 562,652,135,085 and 759,149,837,879

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Solution

The third proportional to 562,652,135,085 and 759,149,837,879 is: 1,024,271,375,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,652,135,085 : 759,149,837,879 = 759,149,837,879 : x
  2. Step 2: Convert to fraction form
    562,652,135,085/759,149,837,879 = 759,149,837,879/x
  3. Step 3: Cross multiply
    562,652,135,085x = 759,149,837,879 × 759,149,837,879
  4. Step 4: Simplify right side
    562,652,135,085x = 576,308,476,351,711,962,726,400
  5. Step 5: Solve for x
    x = 576,308,476,351,711,962,726,400/562,652,135,085
  6. Step 6: Final answer
    x = 1,024,271,375,535.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.