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Finding the Third Proportional to 7,695,258 and 10,823,235.75

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Solution

The third proportional to 7,695,258 and 10,823,235.75 is: 15,222,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695,258 : 10,823,235.75 = 10,823,235.75 : x
  2. Step 2: Convert to fraction form
    7,695,258/10,823,235.75 = 10,823,235.75/x
  3. Step 3: Cross multiply
    7,695,258x = 10,823,235.75 × 10,823,235.75
  4. Step 4: Simplify right side
    7,695,258x = 117,142,432,100,078.06
  5. Step 5: Solve for x
    x = 117,142,432,100,078.06/7,695,258
  6. Step 6: Final answer
    x = 15,222,677.67

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.