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Finding the Third Proportional to 12,529,503 and 19,937,100

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Solution

The third proportional to 12,529,503 and 19,937,100 is: 31,724,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529,503 : 19,937,100 = 19,937,100 : x
  2. Step 2: Convert to fraction form
    12,529,503/19,937,100 = 19,937,100/x
  3. Step 3: Cross multiply
    12,529,503x = 19,937,100 × 19,937,100
  4. Step 4: Simplify right side
    12,529,503x = 397,487,956,410,000
  5. Step 5: Solve for x
    x = 397,487,956,410,000/12,529,503
  6. Step 6: Final answer
    x = 31,724,159.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.