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Finding the Third Proportional to 21,241,134.50 and 32,800,028.50

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Solution

The third proportional to 21,241,134.50 and 32,800,028.50 is: 50,648,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241,134.50 : 32,800,028.50 = 32,800,028.50 : x
  2. Step 2: Convert to fraction form
    21,241,134.50/32,800,028.50 = 32,800,028.50/x
  3. Step 3: Cross multiply
    21,241,134.50x = 32,800,028.50 × 32,800,028.50
  4. Step 4: Simplify right side
    21,241,134.50x = 1,075,841,869,600,812.25
  5. Step 5: Solve for x
    x = 1,075,841,869,600,812.25/21,241,134.50
  6. Step 6: Final answer
    x = 50,648,983.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.