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Finding the Third Proportional to 14,229,489,632 and 30,908,534,608

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Solution

The third proportional to 14,229,489,632 and 30,908,534,608 is: 67,137,862,026.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229,489,632 : 30,908,534,608 = 30,908,534,608 : x
  2. Step 2: Convert to fraction form
    14,229,489,632/30,908,534,608 = 30,908,534,608/x
  3. Step 3: Cross multiply
    14,229,489,632x = 30,908,534,608 × 30,908,534,608
  4. Step 4: Simplify right side
    14,229,489,632x = 955,337,511,613,933,682,688
  5. Step 5: Solve for x
    x = 955,337,511,613,933,682,688/14,229,489,632
  6. Step 6: Final answer
    x = 67,137,862,026.02

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Why These Related Problems?

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