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Finding the Third Proportional to 6,980,064 and 14,764,920

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Solution

The third proportional to 6,980,064 and 14,764,920 is: 31,232,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980,064 : 14,764,920 = 14,764,920 : x
  2. Step 2: Convert to fraction form
    6,980,064/14,764,920 = 14,764,920/x
  3. Step 3: Cross multiply
    6,980,064x = 14,764,920 × 14,764,920
  4. Step 4: Simplify right side
    6,980,064x = 218,002,862,606,400
  5. Step 5: Solve for x
    x = 218,002,862,606,400/6,980,064
  6. Step 6: Final answer
    x = 31,232,215.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.