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Finding the Third Proportional to 11,967,120,312 and 17,883,701,892

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Solution

The third proportional to 11,967,120,312 and 17,883,701,892 is: 26,725,459,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967,120,312 : 17,883,701,892 = 17,883,701,892 : x
  2. Step 2: Convert to fraction form
    11,967,120,312/17,883,701,892 = 17,883,701,892/x
  3. Step 3: Cross multiply
    11,967,120,312x = 17,883,701,892 × 17,883,701,892
  4. Step 4: Simplify right side
    11,967,120,312x = 319,826,793,361,924,358,144
  5. Step 5: Solve for x
    x = 319,826,793,361,924,358,144/11,967,120,312
  6. Step 6: Final answer
    x = 26,725,459,845.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.