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Finding the Third Proportional to 3,309,833,448 and 4,936,047,936

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Solution

The third proportional to 3,309,833,448 and 4,936,047,936 is: 7,361,267,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309,833,448 : 4,936,047,936 = 4,936,047,936 : x
  2. Step 2: Convert to fraction form
    3,309,833,448/4,936,047,936 = 4,936,047,936/x
  3. Step 3: Cross multiply
    3,309,833,448x = 4,936,047,936 × 4,936,047,936
  4. Step 4: Simplify right side
    3,309,833,448x = 24,364,569,226,489,860,096
  5. Step 5: Solve for x
    x = 24,364,569,226,489,860,096/3,309,833,448
  6. Step 6: Final answer
    x = 7,361,267,450.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.