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Finding the Third Proportional to 21,724,813.50 and 45,235,408.50

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Solution

The third proportional to 21,724,813.50 and 45,235,408.50 is: 94,189,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724,813.50 : 45,235,408.50 = 45,235,408.50 : x
  2. Step 2: Convert to fraction form
    21,724,813.50/45,235,408.50 = 45,235,408.50/x
  3. Step 3: Cross multiply
    21,724,813.50x = 45,235,408.50 × 45,235,408.50
  4. Step 4: Simplify right side
    21,724,813.50x = 2,046,242,182,161,872.25
  5. Step 5: Solve for x
    x = 2,046,242,182,161,872.25/21,724,813.50
  6. Step 6: Final answer
    x = 94,189,171.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.