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Finding the Third Proportional to 4,319,342.50 and 9,297,153.50

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Solution

The third proportional to 4,319,342.50 and 9,297,153.50 is: 20,011,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319,342.50 : 9,297,153.50 = 9,297,153.50 : x
  2. Step 2: Convert to fraction form
    4,319,342.50/9,297,153.50 = 9,297,153.50/x
  3. Step 3: Cross multiply
    4,319,342.50x = 9,297,153.50 × 9,297,153.50
  4. Step 4: Simplify right side
    4,319,342.50x = 86,437,063,202,562.25
  5. Step 5: Solve for x
    x = 86,437,063,202,562.25/4,319,342.50
  6. Step 6: Final answer
    x = 20,011,625.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.