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Finding the Third Proportional to 6,042,839,760 and 13,004,009,841.38

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Solution

The third proportional to 6,042,839,760 and 13,004,009,841.38 is: 27,984,238,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042,839,760 : 13,004,009,841.38 = 13,004,009,841.38 : x
  2. Step 2: Convert to fraction form
    6,042,839,760/13,004,009,841.38 = 13,004,009,841.38/x
  3. Step 3: Cross multiply
    6,042,839,760x = 13,004,009,841.38 × 13,004,009,841.38
  4. Step 4: Simplify right side
    6,042,839,760x = 169,104,271,954,577,850,368
  5. Step 5: Solve for x
    x = 169,104,271,954,577,850,368/6,042,839,760
  6. Step 6: Final answer
    x = 27,984,238,978.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.