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Finding the Third Proportional to 562,652,135,083.50 and 759,149,837,878.12

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Solution

The third proportional to 562,652,135,083.50 and 759,149,837,878.12 is: 1,024,271,375,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,652,135,083.50 : 759,149,837,878.12 = 759,149,837,878.12 : x
  2. Step 2: Convert to fraction form
    562,652,135,083.50/759,149,837,878.12 = 759,149,837,878.12/x
  3. Step 3: Cross multiply
    562,652,135,083.50x = 759,149,837,878.12 × 759,149,837,878.12
  4. Step 4: Simplify right side
    562,652,135,083.50x = 576,308,476,350,375,892,353,024
  5. Step 5: Solve for x
    x = 576,308,476,350,375,892,353,024/562,652,135,083.50
  6. Step 6: Final answer
    x = 1,024,271,375,536.23

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Why These Related Problems?

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