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Finding the Third Proportional to 458,389,721.11 and 994,297,099.08

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Solution

The third proportional to 458,389,721.11 and 994,297,099.08 is: 2,156,738,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,389,721.11 : 994,297,099.08 = 994,297,099.08 : x
  2. Step 2: Convert to fraction form
    458,389,721.11/994,297,099.08 = 994,297,099.08/x
  3. Step 3: Cross multiply
    458,389,721.11x = 994,297,099.08 × 994,297,099.08
  4. Step 4: Simplify right side
    458,389,721.11x = 988,626,721,235,164,800
  5. Step 5: Solve for x
    x = 988,626,721,235,164,800/458,389,721.11
  6. Step 6: Final answer
    x = 2,156,738,416.48

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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.