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Finding the Third Proportional to 6,657,300 and 14,340,064

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Solution

The third proportional to 6,657,300 and 14,340,064 is: 30,889,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657,300 : 14,340,064 = 14,340,064 : x
  2. Step 2: Convert to fraction form
    6,657,300/14,340,064 = 14,340,064/x
  3. Step 3: Cross multiply
    6,657,300x = 14,340,064 × 14,340,064
  4. Step 4: Simplify right side
    6,657,300x = 205,637,435,524,096
  5. Step 5: Solve for x
    x = 205,637,435,524,096/6,657,300
  6. Step 6: Final answer
    x = 30,889,014.39

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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.