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Finding the Third Proportional to 2,947,680 and 6,346,368

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Solution

The third proportional to 2,947,680 and 6,346,368 is: 13,663,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,680 : 6,346,368 = 6,346,368 : x
  2. Step 2: Convert to fraction form
    2,947,680/6,346,368 = 6,346,368/x
  3. Step 3: Cross multiply
    2,947,680x = 6,346,368 × 6,346,368
  4. Step 4: Simplify right side
    2,947,680x = 40,276,386,791,424
  5. Step 5: Solve for x
    x = 40,276,386,791,424/2,947,680
  6. Step 6: Final answer
    x = 13,663,758.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.