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Finding the Third Proportional to 5,583,830,910 and 12,098,236,882

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Solution

The third proportional to 5,583,830,910 and 12,098,236,882 is: 26,212,709,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583,830,910 : 12,098,236,882 = 12,098,236,882 : x
  2. Step 2: Convert to fraction form
    5,583,830,910/12,098,236,882 = 12,098,236,882/x
  3. Step 3: Cross multiply
    5,583,830,910x = 12,098,236,882 × 12,098,236,882
  4. Step 4: Simplify right side
    5,583,830,910x = 146,367,335,652,985,077,760
  5. Step 5: Solve for x
    x = 146,367,335,652,985,077,760/5,583,830,910
  6. Step 6: Final answer
    x = 26,212,709,161.89

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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.