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Finding the Third Proportional to 2,429,497.50 and 5,624,433

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Solution

The third proportional to 2,429,497.50 and 5,624,433 is: 13,020,901.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429,497.50 : 5,624,433 = 5,624,433 : x
  2. Step 2: Convert to fraction form
    2,429,497.50/5,624,433 = 5,624,433/x
  3. Step 3: Cross multiply
    2,429,497.50x = 5,624,433 × 5,624,433
  4. Step 4: Simplify right side
    2,429,497.50x = 31,634,246,571,489
  5. Step 5: Solve for x
    x = 31,634,246,571,489/2,429,497.50
  6. Step 6: Final answer
    x = 13,020,901.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.