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Finding the Third Proportional to 10,397,257.88 and 23,185,176.75

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Solution

The third proportional to 10,397,257.88 and 23,185,176.75 is: 51,701,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397,257.88 : 23,185,176.75 = 23,185,176.75 : x
  2. Step 2: Convert to fraction form
    10,397,257.88/23,185,176.75 = 23,185,176.75/x
  3. Step 3: Cross multiply
    10,397,257.88x = 23,185,176.75 × 23,185,176.75
  4. Step 4: Simplify right side
    10,397,257.88x = 537,552,420,928,740.56
  5. Step 5: Solve for x
    x = 537,552,420,928,740.56/10,397,257.88
  6. Step 6: Final answer
    x = 51,701,364.67

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.