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Finding the Third Proportional to 5,864,348 and 8,258,140

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Solution

The third proportional to 5,864,348 and 8,258,140 is: 11,629,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864,348 : 8,258,140 = 8,258,140 : x
  2. Step 2: Convert to fraction form
    5,864,348/8,258,140 = 8,258,140/x
  3. Step 3: Cross multiply
    5,864,348x = 8,258,140 × 8,258,140
  4. Step 4: Simplify right side
    5,864,348x = 68,196,876,259,600
  5. Step 5: Solve for x
    x = 68,196,876,259,600/5,864,348
  6. Step 6: Final answer
    x = 11,629,063.67

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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.