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Finding the Third Proportional to 2,978,880 and 6,430,068

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Solution

The third proportional to 2,978,880 and 6,430,068 is: 13,879,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978,880 : 6,430,068 = 6,430,068 : x
  2. Step 2: Convert to fraction form
    2,978,880/6,430,068 = 6,430,068/x
  3. Step 3: Cross multiply
    2,978,880x = 6,430,068 × 6,430,068
  4. Step 4: Simplify right side
    2,978,880x = 41,345,774,484,624
  5. Step 5: Solve for x
    x = 41,345,774,484,624/2,978,880
  6. Step 6: Final answer
    x = 13,879,637.48

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