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Finding the Third Proportional to 6,942,081,906 and 10,575,544,512

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Solution

The third proportional to 6,942,081,906 and 10,575,544,512 is: 16,110,749,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942,081,906 : 10,575,544,512 = 10,575,544,512 : x
  2. Step 2: Convert to fraction form
    6,942,081,906/10,575,544,512 = 10,575,544,512/x
  3. Step 3: Cross multiply
    6,942,081,906x = 10,575,544,512 × 10,575,544,512
  4. Step 4: Simplify right side
    6,942,081,906x = 111,842,141,725,293,314,048
  5. Step 5: Solve for x
    x = 111,842,141,725,293,314,048/6,942,081,906
  6. Step 6: Final answer
    x = 16,110,749,374.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.