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Finding the Third Proportional to 1,812,578,067 and 2,798,937,733.50

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Solution

The third proportional to 1,812,578,067 and 2,798,937,733.50 is: 4,322,049,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812,578,067 : 2,798,937,733.50 = 2,798,937,733.50 : x
  2. Step 2: Convert to fraction form
    1,812,578,067/2,798,937,733.50 = 2,798,937,733.50/x
  3. Step 3: Cross multiply
    1,812,578,067x = 2,798,937,733.50 × 2,798,937,733.50
  4. Step 4: Simplify right side
    1,812,578,067x = 7,834,052,436,010,117,120
  5. Step 5: Solve for x
    x = 7,834,052,436,010,117,120/1,812,578,067
  6. Step 6: Final answer
    x = 4,322,049,669.83

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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.