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Finding the Third Proportional to 3,160,348 and 6,825,144

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Solution

The third proportional to 3,160,348 and 6,825,144 is: 14,739,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160,348 : 6,825,144 = 6,825,144 : x
  2. Step 2: Convert to fraction form
    3,160,348/6,825,144 = 6,825,144/x
  3. Step 3: Cross multiply
    3,160,348x = 6,825,144 × 6,825,144
  4. Step 4: Simplify right side
    3,160,348x = 46,582,590,620,736
  5. Step 5: Solve for x
    x = 46,582,590,620,736/3,160,348
  6. Step 6: Final answer
    x = 14,739,702.91

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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.