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Finding the Third Proportional to 12,441,907.50 and 17,791,949.25

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Solution

The third proportional to 12,441,907.50 and 17,791,949.25 is: 25,442,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441,907.50 : 17,791,949.25 = 17,791,949.25 : x
  2. Step 2: Convert to fraction form
    12,441,907.50/17,791,949.25 = 17,791,949.25/x
  3. Step 3: Cross multiply
    12,441,907.50x = 17,791,949.25 × 17,791,949.25
  4. Step 4: Simplify right side
    12,441,907.50x = 316,553,458,114,575.56
  5. Step 5: Solve for x
    x = 316,553,458,114,575.56/12,441,907.50
  6. Step 6: Final answer
    x = 25,442,518.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.