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Finding the Third Proportional to 6,811,136 and 10,245,308

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Solution

The third proportional to 6,811,136 and 10,245,308 is: 15,410,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811,136 : 10,245,308 = 10,245,308 : x
  2. Step 2: Convert to fraction form
    6,811,136/10,245,308 = 10,245,308/x
  3. Step 3: Cross multiply
    6,811,136x = 10,245,308 × 10,245,308
  4. Step 4: Simplify right side
    6,811,136x = 104,966,336,014,864
  5. Step 5: Solve for x
    x = 104,966,336,014,864/6,811,136
  6. Step 6: Final answer
    x = 15,410,988.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.