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Finding the Third Proportional to 6,727,014 and 14,350,940

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Solution

The third proportional to 6,727,014 and 14,350,940 is: 30,615,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727,014 : 14,350,940 = 14,350,940 : x
  2. Step 2: Convert to fraction form
    6,727,014/14,350,940 = 14,350,940/x
  3. Step 3: Cross multiply
    6,727,014x = 14,350,940 × 14,350,940
  4. Step 4: Simplify right side
    6,727,014x = 205,949,478,883,600
  5. Step 5: Solve for x
    x = 205,949,478,883,600/6,727,014
  6. Step 6: Final answer
    x = 30,615,289.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.