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Finding the Third Proportional to 4,415,181,577 and 6,786,450,637

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Solution

The third proportional to 4,415,181,577 and 6,786,450,637 is: 10,431,261,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415,181,577 : 6,786,450,637 = 6,786,450,637 : x
  2. Step 2: Convert to fraction form
    4,415,181,577/6,786,450,637 = 6,786,450,637/x
  3. Step 3: Cross multiply
    4,415,181,577x = 6,786,450,637 × 6,786,450,637
  4. Step 4: Simplify right side
    4,415,181,577x = 46,055,912,248,437,702,656
  5. Step 5: Solve for x
    x = 46,055,912,248,437,702,656/4,415,181,577
  6. Step 6: Final answer
    x = 10,431,261,193.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.