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Finding the Third Proportional to 12,107,998.69 and 18,635,907.94

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Solution

The third proportional to 12,107,998.69 and 18,635,907.94 is: 28,683,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107,998.69 : 18,635,907.94 = 18,635,907.94 : x
  2. Step 2: Convert to fraction form
    12,107,998.69/18,635,907.94 = 18,635,907.94/x
  3. Step 3: Cross multiply
    12,107,998.69x = 18,635,907.94 × 18,635,907.94
  4. Step 4: Simplify right side
    12,107,998.69x = 347,297,064,654,975.50
  5. Step 5: Solve for x
    x = 347,297,064,654,975.50/12,107,998.69
  6. Step 6: Final answer
    x = 28,683,275.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.