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Finding the Third Proportional to 1,079,662,041,384 and 2,248,687,072,248

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Solution

The third proportional to 1,079,662,041,384 and 2,248,687,072,248 is: 4,683,496,645,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079,662,041,384 : 2,248,687,072,248 = 2,248,687,072,248 : x
  2. Step 2: Convert to fraction form
    1,079,662,041,384/2,248,687,072,248 = 2,248,687,072,248/x
  3. Step 3: Cross multiply
    1,079,662,041,384x = 2,248,687,072,248 × 2,248,687,072,248
  4. Step 4: Simplify right side
    1,079,662,041,384x = 5,056,593,548,895,282,450,661,376
  5. Step 5: Solve for x
    x = 5,056,593,548,895,282,450,661,376/1,079,662,041,384
  6. Step 6: Final answer
    x = 4,683,496,645,314.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.