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Finding the Third Proportional to 3,580,942,108 and 7,706,079,968

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Solution

The third proportional to 3,580,942,108 and 7,706,079,968 is: 16,583,252,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580,942,108 : 7,706,079,968 = 7,706,079,968 : x
  2. Step 2: Convert to fraction form
    3,580,942,108/7,706,079,968 = 7,706,079,968/x
  3. Step 3: Cross multiply
    3,580,942,108x = 7,706,079,968 × 7,706,079,968
  4. Step 4: Simplify right side
    3,580,942,108x = 59,383,668,473,210,880,000
  5. Step 5: Solve for x
    x = 59,383,668,473,210,880,000/3,580,942,108
  6. Step 6: Final answer
    x = 16,583,252,865.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.