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Finding the Third Proportional to 2,759,513,081,701 and 6,004,942,221,481

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Solution

The third proportional to 2,759,513,081,701 and 6,004,942,221,481 is: 13,067,280,355,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759,513,081,701 : 6,004,942,221,481 = 6,004,942,221,481 : x
  2. Step 2: Convert to fraction form
    2,759,513,081,701/6,004,942,221,481 = 6,004,942,221,481/x
  3. Step 3: Cross multiply
    2,759,513,081,701x = 6,004,942,221,481 × 6,004,942,221,481
  4. Step 4: Simplify right side
    2,759,513,081,701x = 36,059,331,083,325,168,525,770,752
  5. Step 5: Solve for x
    x = 36,059,331,083,325,168,525,770,752/2,759,513,081,701
  6. Step 6: Final answer
    x = 13,067,280,355,524.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.