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Finding the Third Proportional to 5,619,117,361,930 and 8,941,120,352,191

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Solution

The third proportional to 5,619,117,361,930 and 8,941,120,352,191 is: 14,227,080,162,800.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619,117,361,930 : 8,941,120,352,191 = 8,941,120,352,191 : x
  2. Step 2: Convert to fraction form
    5,619,117,361,930/8,941,120,352,191 = 8,941,120,352,191/x
  3. Step 3: Cross multiply
    5,619,117,361,930x = 8,941,120,352,191 × 8,941,120,352,191
  4. Step 4: Simplify right side
    5,619,117,361,930x = 79,943,633,152,364,116,682,211,328
  5. Step 5: Solve for x
    x = 79,943,633,152,364,116,682,211,328/5,619,117,361,930
  6. Step 6: Final answer
    x = 14,227,080,162,800.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.