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Finding the Third Proportional to 6,362,950,943,086 and 13,957,801,964,638

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Solution

The third proportional to 6,362,950,943,086 and 13,957,801,964,638 is: 30,617,906,286,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362,950,943,086 : 13,957,801,964,638 = 13,957,801,964,638 : x
  2. Step 2: Convert to fraction form
    6,362,950,943,086/13,957,801,964,638 = 13,957,801,964,638/x
  3. Step 3: Cross multiply
    6,362,950,943,086x = 13,957,801,964,638 × 13,957,801,964,638
  4. Step 4: Simplify right side
    6,362,950,943,086x = 194,820,235,684,052,415,685,853,184
  5. Step 5: Solve for x
    x = 194,820,235,684,052,415,685,853,184/6,362,950,943,086
  6. Step 6: Final answer
    x = 30,617,906,286,979.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.