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Finding the Third Proportional to 19,539,553.50 and 41,768,158.50

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Solution

The third proportional to 19,539,553.50 and 41,768,158.50 is: 89,284,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539,553.50 : 41,768,158.50 = 41,768,158.50 : x
  2. Step 2: Convert to fraction form
    19,539,553.50/41,768,158.50 = 41,768,158.50/x
  3. Step 3: Cross multiply
    19,539,553.50x = 41,768,158.50 × 41,768,158.50
  4. Step 4: Simplify right side
    19,539,553.50x = 1,744,579,064,481,122.25
  5. Step 5: Solve for x
    x = 1,744,579,064,481,122.25/19,539,553.50
  6. Step 6: Final answer
    x = 89,284,489.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.