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Finding the Third Proportional to 6,772,280 and 14,463,016

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Solution

The third proportional to 6,772,280 and 14,463,016 is: 30,887,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772,280 : 14,463,016 = 14,463,016 : x
  2. Step 2: Convert to fraction form
    6,772,280/14,463,016 = 14,463,016/x
  3. Step 3: Cross multiply
    6,772,280x = 14,463,016 × 14,463,016
  4. Step 4: Simplify right side
    6,772,280x = 209,178,831,816,256
  5. Step 5: Solve for x
    x = 209,178,831,816,256/6,772,280
  6. Step 6: Final answer
    x = 30,887,504.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.