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Finding the Third Proportional to 3,112,824 and 6,816,156

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Solution

The third proportional to 3,112,824 and 6,816,156 is: 14,925,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112,824 : 6,816,156 = 6,816,156 : x
  2. Step 2: Convert to fraction form
    3,112,824/6,816,156 = 6,816,156/x
  3. Step 3: Cross multiply
    3,112,824x = 6,816,156 × 6,816,156
  4. Step 4: Simplify right side
    3,112,824x = 46,459,982,616,336
  5. Step 5: Solve for x
    x = 46,459,982,616,336/3,112,824
  6. Step 6: Final answer
    x = 14,925,348.37

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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.