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Finding the Third Proportional to 11,065,280,898 and 16,997,624,934

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Solution

The third proportional to 11,065,280,898 and 16,997,624,934 is: 26,110,431,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065,280,898 : 16,997,624,934 = 16,997,624,934 : x
  2. Step 2: Convert to fraction form
    11,065,280,898/16,997,624,934 = 16,997,624,934/x
  3. Step 3: Cross multiply
    11,065,280,898x = 16,997,624,934 × 16,997,624,934
  4. Step 4: Simplify right side
    11,065,280,898x = 288,919,253,396,938,489,856
  5. Step 5: Solve for x
    x = 288,919,253,396,938,489,856/11,065,280,898
  6. Step 6: Final answer
    x = 26,110,431,001.27

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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.