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Finding the Third Proportional to 6,702,230.25 and 14,467,343.63

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Solution

The third proportional to 6,702,230.25 and 14,467,343.63 is: 31,229,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702,230.25 : 14,467,343.63 = 14,467,343.63 : x
  2. Step 2: Convert to fraction form
    6,702,230.25/14,467,343.63 = 14,467,343.63/x
  3. Step 3: Cross multiply
    6,702,230.25x = 14,467,343.63 × 14,467,343.63
  4. Step 4: Simplify right side
    6,702,230.25x = 209,304,031,563,828.12
  5. Step 5: Solve for x
    x = 209,304,031,563,828.12/6,702,230.25
  6. Step 6: Final answer
    x = 31,229,012.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.