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Finding the Third Proportional to 3,112,822 and 6,816,152

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Solution

The third proportional to 3,112,822 and 6,816,152 is: 14,925,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112,822 : 6,816,152 = 6,816,152 : x
  2. Step 2: Convert to fraction form
    3,112,822/6,816,152 = 6,816,152/x
  3. Step 3: Cross multiply
    3,112,822x = 6,816,152 × 6,816,152
  4. Step 4: Simplify right side
    3,112,822x = 46,459,928,087,104
  5. Step 5: Solve for x
    x = 46,459,928,087,104/3,112,822
  6. Step 6: Final answer
    x = 14,925,340.44

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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.