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Finding the Third Proportional to 3,145,806 and 6,880,356

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Solution

The third proportional to 3,145,806 and 6,880,356 is: 15,048,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145,806 : 6,880,356 = 6,880,356 : x
  2. Step 2: Convert to fraction form
    3,145,806/6,880,356 = 6,880,356/x
  3. Step 3: Cross multiply
    3,145,806x = 6,880,356 × 6,880,356
  4. Step 4: Simplify right side
    3,145,806x = 47,339,298,686,736
  5. Step 5: Solve for x
    x = 47,339,298,686,736/3,145,806
  6. Step 6: Final answer
    x = 15,048,384.64

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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.