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Finding the Third Proportional to 19,201,123 and 27,008,787.50

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Solution

The third proportional to 19,201,123 and 27,008,787.50 is: 37,991,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201,123 : 27,008,787.50 = 27,008,787.50 : x
  2. Step 2: Convert to fraction form
    19,201,123/27,008,787.50 = 27,008,787.50/x
  3. Step 3: Cross multiply
    19,201,123x = 27,008,787.50 × 27,008,787.50
  4. Step 4: Simplify right side
    19,201,123x = 729,474,602,220,156.25
  5. Step 5: Solve for x
    x = 729,474,602,220,156.25/19,201,123
  6. Step 6: Final answer
    x = 37,991,246.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.