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Finding the Third Proportional to 6,154,474.88 and 14,246,495.63

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Solution

The third proportional to 6,154,474.88 and 14,246,495.63 is: 32,978,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154,474.88 : 14,246,495.63 = 14,246,495.63 : x
  2. Step 2: Convert to fraction form
    6,154,474.88/14,246,495.63 = 14,246,495.63/x
  3. Step 3: Cross multiply
    6,154,474.88x = 14,246,495.63 × 14,246,495.63
  4. Step 4: Simplify right side
    6,154,474.88x = 202,962,637,593,144.12
  5. Step 5: Solve for x
    x = 202,962,637,593,144.12/6,154,474.88
  6. Step 6: Final answer
    x = 32,978,059.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.