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Finding the Third Proportional to 3,112,823 and 6,816,154

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Solution

The third proportional to 3,112,823 and 6,816,154 is: 14,925,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112,823 : 6,816,154 = 6,816,154 : x
  2. Step 2: Convert to fraction form
    3,112,823/6,816,154 = 6,816,154/x
  3. Step 3: Cross multiply
    3,112,823x = 6,816,154 × 6,816,154
  4. Step 4: Simplify right side
    3,112,823x = 46,459,955,351,716
  5. Step 5: Solve for x
    x = 46,459,955,351,716/3,112,823
  6. Step 6: Final answer
    x = 14,925,344.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.