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Finding the Third Proportional to 10,072,146.50 and 21,580,147

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Solution

The third proportional to 10,072,146.50 and 21,580,147 is: 46,236,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072,146.50 : 21,580,147 = 21,580,147 : x
  2. Step 2: Convert to fraction form
    10,072,146.50/21,580,147 = 21,580,147/x
  3. Step 3: Cross multiply
    10,072,146.50x = 21,580,147 × 21,580,147
  4. Step 4: Simplify right side
    10,072,146.50x = 465,702,744,541,609
  5. Step 5: Solve for x
    x = 465,702,744,541,609/10,072,146.50
  6. Step 6: Final answer
    x = 46,236,692.90

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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.