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Finding the Third Proportional to 1,328,012,704.13 and 2,839,898,800.13

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Solution

The third proportional to 1,328,012,704.13 and 2,839,898,800.13 is: 6,073,003,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,012,704.13 : 2,839,898,800.13 = 2,839,898,800.13 : x
  2. Step 2: Convert to fraction form
    1,328,012,704.13/2,839,898,800.13 = 2,839,898,800.13/x
  3. Step 3: Cross multiply
    1,328,012,704.13x = 2,839,898,800.13 × 2,839,898,800.13
  4. Step 4: Simplify right side
    1,328,012,704.13x = 8,065,025,194,951,414,784
  5. Step 5: Solve for x
    x = 8,065,025,194,951,414,784/1,328,012,704.13
  6. Step 6: Final answer
    x = 6,073,003,044.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.