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Finding the Third Proportional to 7,002,848,186 and 15,167,783,284

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Solution

The third proportional to 7,002,848,186 and 15,167,783,284 is: 32,852,582,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002,848,186 : 15,167,783,284 = 15,167,783,284 : x
  2. Step 2: Convert to fraction form
    7,002,848,186/15,167,783,284 = 15,167,783,284/x
  3. Step 3: Cross multiply
    7,002,848,186x = 15,167,783,284 × 15,167,783,284
  4. Step 4: Simplify right side
    7,002,848,186x = 230,061,649,750,389,817,344
  5. Step 5: Solve for x
    x = 230,061,649,750,389,817,344/7,002,848,186
  6. Step 6: Final answer
    x = 32,852,582,783.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.