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Finding the Third Proportional to 10,489,530.75 and 16,200,126.75

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Solution

The third proportional to 10,489,530.75 and 16,200,126.75 is: 25,019,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489,530.75 : 16,200,126.75 = 16,200,126.75 : x
  2. Step 2: Convert to fraction form
    10,489,530.75/16,200,126.75 = 16,200,126.75/x
  3. Step 3: Cross multiply
    10,489,530.75x = 16,200,126.75 × 16,200,126.75
  4. Step 4: Simplify right side
    10,489,530.75x = 262,444,106,716,065.56
  5. Step 5: Solve for x
    x = 262,444,106,716,065.56/10,489,530.75
  6. Step 6: Final answer
    x = 25,019,623.18

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