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Finding the Third Proportional to 6,648,032 and 14,289,064

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Solution

The third proportional to 6,648,032 and 14,289,064 is: 30,712,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648,032 : 14,289,064 = 14,289,064 : x
  2. Step 2: Convert to fraction form
    6,648,032/14,289,064 = 14,289,064/x
  3. Step 3: Cross multiply
    6,648,032x = 14,289,064 × 14,289,064
  4. Step 4: Simplify right side
    6,648,032x = 204,177,349,996,096
  5. Step 5: Solve for x
    x = 204,177,349,996,096/6,648,032
  6. Step 6: Final answer
    x = 30,712,449.94

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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.