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Finding the Third Proportional to 6,042,839,775.50 and 13,004,009,873.50

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Solution

The third proportional to 6,042,839,775.50 and 13,004,009,873.50 is: 27,984,239,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042,839,775.50 : 13,004,009,873.50 = 13,004,009,873.50 : x
  2. Step 2: Convert to fraction form
    6,042,839,775.50/13,004,009,873.50 = 13,004,009,873.50/x
  3. Step 3: Cross multiply
    6,042,839,775.50x = 13,004,009,873.50 × 13,004,009,873.50
  4. Step 4: Simplify right side
    6,042,839,775.50x = 169,104,272,790,085,500,928
  5. Step 5: Solve for x
    x = 169,104,272,790,085,500,928/6,042,839,775.50
  6. Step 6: Final answer
    x = 27,984,239,045.31

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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.