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Finding the Third Proportional to 10,364,224.64 and 16,257,010.08

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Solution

The third proportional to 10,364,224.64 and 16,257,010.08 is: 25,500,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364,224.64 : 16,257,010.08 = 16,257,010.08 : x
  2. Step 2: Convert to fraction form
    10,364,224.64/16,257,010.08 = 16,257,010.08/x
  3. Step 3: Cross multiply
    10,364,224.64x = 16,257,010.08 × 16,257,010.08
  4. Step 4: Simplify right side
    10,364,224.64x = 264,290,376,680,257.81
  5. Step 5: Solve for x
    x = 264,290,376,680,257.81/10,364,224.64
  6. Step 6: Final answer
    x = 25,500,255.53

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.