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Finding the Third Proportional to 18,699,633,789,818 and 40,213,498,163,774

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Solution

The third proportional to 18,699,633,789,818 and 40,213,498,163,774 is: 86,478,989,521,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,699,633,789,818 : 40,213,498,163,774 = 40,213,498,163,774 : x
  2. Step 2: Convert to fraction form
    18,699,633,789,818/40,213,498,163,774 = 40,213,498,163,774/x
  3. Step 3: Cross multiply
    18,699,633,789,818x = 40,213,498,163,774 × 40,213,498,163,774
  4. Step 4: Simplify right side
    18,699,633,789,818x = 1,617,125,434,567,854,988,933,988,352
  5. Step 5: Solve for x
    x = 1,617,125,434,567,854,988,933,988,352/18,699,633,789,818
  6. Step 6: Final answer
    x = 86,478,989,521,622.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.