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Finding the Third Proportional to 10,257,313.50 and 21,887,514

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Solution

The third proportional to 10,257,313.50 and 21,887,514 is: 46,704,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,313.50 : 21,887,514 = 21,887,514 : x
  2. Step 2: Convert to fraction form
    10,257,313.50/21,887,514 = 21,887,514/x
  3. Step 3: Cross multiply
    10,257,313.50x = 21,887,514 × 21,887,514
  4. Step 4: Simplify right side
    10,257,313.50x = 479,063,269,100,196
  5. Step 5: Solve for x
    x = 479,063,269,100,196/10,257,313.50
  6. Step 6: Final answer
    x = 46,704,555.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.