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Finding the Third Proportional to 76,329,939,326 and 167,801,562,780

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Solution

The third proportional to 76,329,939,326 and 167,801,562,780 is: 368,890,172,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,329,939,326 : 167,801,562,780 = 167,801,562,780 : x
  2. Step 2: Convert to fraction form
    76,329,939,326/167,801,562,780 = 167,801,562,780/x
  3. Step 3: Cross multiply
    76,329,939,326x = 167,801,562,780 × 167,801,562,780
  4. Step 4: Simplify right side
    76,329,939,326x = 28,157,364,471,410,282,463,232
  5. Step 5: Solve for x
    x = 28,157,364,471,410,282,463,232/76,329,939,326
  6. Step 6: Final answer
    x = 368,890,172,323.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.