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Finding the Third Proportional to 6,982,446,834 and 10,463,456,344.50

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Solution

The third proportional to 6,982,446,834 and 10,463,456,344.50 is: 15,679,878,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982,446,834 : 10,463,456,344.50 = 10,463,456,344.50 : x
  2. Step 2: Convert to fraction form
    6,982,446,834/10,463,456,344.50 = 10,463,456,344.50/x
  3. Step 3: Cross multiply
    6,982,446,834x = 10,463,456,344.50 × 10,463,456,344.50
  4. Step 4: Simplify right side
    6,982,446,834x = 109,483,918,673,257,299,968
  5. Step 5: Solve for x
    x = 109,483,918,673,257,299,968/6,982,446,834
  6. Step 6: Final answer
    x = 15,679,878,597.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.