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Finding the Third Proportional to 5,574,136.50 and 8,146,099.13

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Solution

The third proportional to 5,574,136.50 and 8,146,099.13 is: 11,904,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574,136.50 : 8,146,099.13 = 8,146,099.13 : x
  2. Step 2: Convert to fraction form
    5,574,136.50/8,146,099.13 = 8,146,099.13/x
  3. Step 3: Cross multiply
    5,574,136.50x = 8,146,099.13 × 8,146,099.13
  4. Step 4: Simplify right side
    5,574,136.50x = 66,358,930,954,325.77
  5. Step 5: Solve for x
    x = 66,358,930,954,325.77/5,574,136.50
  6. Step 6: Final answer
    x = 11,904,791.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.