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Finding the Third Proportional to 32,749,034,198 and 50,306,523,003

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Solution

The third proportional to 32,749,034,198 and 50,306,523,003 is: 77,276,973,768.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749,034,198 : 50,306,523,003 = 50,306,523,003 : x
  2. Step 2: Convert to fraction form
    32,749,034,198/50,306,523,003 = 50,306,523,003/x
  3. Step 3: Cross multiply
    32,749,034,198x = 50,306,523,003 × 50,306,523,003
  4. Step 4: Simplify right side
    32,749,034,198x = 2,530,746,256,651,368,005,632
  5. Step 5: Solve for x
    x = 2,530,746,256,651,368,005,632/32,749,034,198
  6. Step 6: Final answer
    x = 77,276,973,768.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.