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Finding the Third Proportional to 3,157,024 and 6,806,826

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Solution

The third proportional to 3,157,024 and 6,806,826 is: 14,676,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157,024 : 6,806,826 = 6,806,826 : x
  2. Step 2: Convert to fraction form
    3,157,024/6,806,826 = 6,806,826/x
  3. Step 3: Cross multiply
    3,157,024x = 6,806,826 × 6,806,826
  4. Step 4: Simplify right side
    3,157,024x = 46,332,880,194,276
  5. Step 5: Solve for x
    x = 46,332,880,194,276/3,157,024
  6. Step 6: Final answer
    x = 14,676,125.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.