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Finding the Third Proportional to 5,650,347 and 12,263,930.25

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Solution

The third proportional to 5,650,347 and 12,263,930.25 is: 26,618,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650,347 : 12,263,930.25 = 12,263,930.25 : x
  2. Step 2: Convert to fraction form
    5,650,347/12,263,930.25 = 12,263,930.25/x
  3. Step 3: Cross multiply
    5,650,347x = 12,263,930.25 × 12,263,930.25
  4. Step 4: Simplify right side
    5,650,347x = 150,403,985,176,865.06
  5. Step 5: Solve for x
    x = 150,403,985,176,865.06/5,650,347
  6. Step 6: Final answer
    x = 26,618,539.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.