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Finding the Third Proportional to 9,699,232.50 and 16,164,697.50

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Solution

The third proportional to 9,699,232.50 and 16,164,697.50 is: 26,940,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699,232.50 : 16,164,697.50 = 16,164,697.50 : x
  2. Step 2: Convert to fraction form
    9,699,232.50/16,164,697.50 = 16,164,697.50/x
  3. Step 3: Cross multiply
    9,699,232.50x = 16,164,697.50 × 16,164,697.50
  4. Step 4: Simplify right side
    9,699,232.50x = 261,297,445,266,506.25
  5. Step 5: Solve for x
    x = 261,297,445,266,506.25/9,699,232.50
  6. Step 6: Final answer
    x = 26,940,012.55

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.