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Finding the Third Proportional to 19,383,682,152 and 42,163,587,222

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Solution

The third proportional to 19,383,682,152 and 42,163,587,222 is: 91,714,673,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,383,682,152 : 42,163,587,222 = 42,163,587,222 : x
  2. Step 2: Convert to fraction form
    19,383,682,152/42,163,587,222 = 42,163,587,222/x
  3. Step 3: Cross multiply
    19,383,682,152x = 42,163,587,222 × 42,163,587,222
  4. Step 4: Simplify right side
    19,383,682,152x = 1,777,768,087,427,201,630,208
  5. Step 5: Solve for x
    x = 1,777,768,087,427,201,630,208/19,383,682,152
  6. Step 6: Final answer
    x = 91,714,673,893.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.