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Finding the Third Proportional to 8,263,496 and 12,078,119

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Solution

The third proportional to 8,263,496 and 12,078,119 is: 17,653,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263,496 : 12,078,119 = 12,078,119 : x
  2. Step 2: Convert to fraction form
    8,263,496/12,078,119 = 12,078,119/x
  3. Step 3: Cross multiply
    8,263,496x = 12,078,119 × 12,078,119
  4. Step 4: Simplify right side
    8,263,496x = 145,880,958,578,161
  5. Step 5: Solve for x
    x = 145,880,958,578,161/8,263,496
  6. Step 6: Final answer
    x = 17,653,661.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.