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Finding the Third Proportional to 10,142,339.50 and 22,552,355

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Solution

The third proportional to 10,142,339.50 and 22,552,355 is: 50,147,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142,339.50 : 22,552,355 = 22,552,355 : x
  2. Step 2: Convert to fraction form
    10,142,339.50/22,552,355 = 22,552,355/x
  3. Step 3: Cross multiply
    10,142,339.50x = 22,552,355 × 22,552,355
  4. Step 4: Simplify right side
    10,142,339.50x = 508,608,716,046,025
  5. Step 5: Solve for x
    x = 508,608,716,046,025/10,142,339.50
  6. Step 6: Final answer
    x = 50,147,080.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.