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Finding the Third Proportional to 3,386,143.50 and 7,231,516.50

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Solution

The third proportional to 3,386,143.50 and 7,231,516.50 is: 15,443,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386,143.50 : 7,231,516.50 = 7,231,516.50 : x
  2. Step 2: Convert to fraction form
    3,386,143.50/7,231,516.50 = 7,231,516.50/x
  3. Step 3: Cross multiply
    3,386,143.50x = 7,231,516.50 × 7,231,516.50
  4. Step 4: Simplify right side
    3,386,143.50x = 52,294,830,889,772.25
  5. Step 5: Solve for x
    x = 52,294,830,889,772.25/3,386,143.50
  6. Step 6: Final answer
    x = 15,443,772.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.