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Finding the Third Proportional to 76,743,710,478 and 171,133,287,052

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Solution

The third proportional to 76,743,710,478 and 171,133,287,052 is: 381,615,662,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,743,710,478 : 171,133,287,052 = 171,133,287,052 : x
  2. Step 2: Convert to fraction form
    76,743,710,478/171,133,287,052 = 171,133,287,052/x
  3. Step 3: Cross multiply
    76,743,710,478x = 171,133,287,052 × 171,133,287,052
  4. Step 4: Simplify right side
    76,743,710,478x = 29,286,601,937,222,230,867,968
  5. Step 5: Solve for x
    x = 29,286,601,937,222,230,867,968/76,743,710,478
  6. Step 6: Final answer
    x = 381,615,662,766.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.