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Finding the Third Proportional to 6,124,064 and 14,304,032

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Solution

The third proportional to 6,124,064 and 14,304,032 is: 33,410,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124,064 : 14,304,032 = 14,304,032 : x
  2. Step 2: Convert to fraction form
    6,124,064/14,304,032 = 14,304,032/x
  3. Step 3: Cross multiply
    6,124,064x = 14,304,032 × 14,304,032
  4. Step 4: Simplify right side
    6,124,064x = 204,605,331,457,024
  5. Step 5: Solve for x
    x = 204,605,331,457,024/6,124,064
  6. Step 6: Final answer
    x = 33,410,057.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.