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Finding the Third Proportional to 21,728,145 and 32,594,811.75

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Solution

The third proportional to 21,728,145 and 32,594,811.75 is: 48,896,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728,145 : 32,594,811.75 = 32,594,811.75 : x
  2. Step 2: Convert to fraction form
    21,728,145/32,594,811.75 = 32,594,811.75/x
  3. Step 3: Cross multiply
    21,728,145x = 32,594,811.75 × 32,594,811.75
  4. Step 4: Simplify right side
    21,728,145x = 1,062,421,753,017,938
  5. Step 5: Solve for x
    x = 1,062,421,753,017,938/21,728,145
  6. Step 6: Final answer
    x = 48,896,109.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.