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Finding the Third Proportional to 5,302,106 and 8,409,149

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Solution

The third proportional to 5,302,106 and 8,409,149 is: 13,336,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302,106 : 8,409,149 = 8,409,149 : x
  2. Step 2: Convert to fraction form
    5,302,106/8,409,149 = 8,409,149/x
  3. Step 3: Cross multiply
    5,302,106x = 8,409,149 × 8,409,149
  4. Step 4: Simplify right side
    5,302,106x = 70,713,786,904,201
  5. Step 5: Solve for x
    x = 70,713,786,904,201/5,302,106
  6. Step 6: Final answer
    x = 13,336,924.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.