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Finding the Third Proportional to 4,028,559,942 and 8,669,340,096

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Solution

The third proportional to 4,028,559,942 and 8,669,340,096 is: 18,656,159,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,028,559,942 : 8,669,340,096 = 8,669,340,096 : x
  2. Step 2: Convert to fraction form
    4,028,559,942/8,669,340,096 = 8,669,340,096/x
  3. Step 3: Cross multiply
    4,028,559,942x = 8,669,340,096 × 8,669,340,096
  4. Step 4: Simplify right side
    4,028,559,942x = 75,157,457,700,113,285,120
  5. Step 5: Solve for x
    x = 75,157,457,700,113,285,120/4,028,559,942
  6. Step 6: Final answer
    x = 18,656,159,715.18

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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.