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Finding the Third Proportional to 6,276,214 and 13,409,248

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Solution

The third proportional to 6,276,214 and 13,409,248 is: 28,649,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276,214 : 13,409,248 = 13,409,248 : x
  2. Step 2: Convert to fraction form
    6,276,214/13,409,248 = 13,409,248/x
  3. Step 3: Cross multiply
    6,276,214x = 13,409,248 × 13,409,248
  4. Step 4: Simplify right side
    6,276,214x = 179,807,931,925,504
  5. Step 5: Solve for x
    x = 179,807,931,925,504/6,276,214
  6. Step 6: Final answer
    x = 28,649,107.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.