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Finding the Third Proportional to 6,423,552 and 14,264,064

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Solution

The third proportional to 6,423,552 and 14,264,064 is: 31,674,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,552 : 14,264,064 = 14,264,064 : x
  2. Step 2: Convert to fraction form
    6,423,552/14,264,064 = 14,264,064/x
  3. Step 3: Cross multiply
    6,423,552x = 14,264,064 × 14,264,064
  4. Step 4: Simplify right side
    6,423,552x = 203,463,521,796,096
  5. Step 5: Solve for x
    x = 203,463,521,796,096/6,423,552
  6. Step 6: Final answer
    x = 31,674,612.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.