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Finding the Third Proportional to 10,104,760.13 and 22,907,782.76

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Solution

The third proportional to 10,104,760.13 and 22,907,782.76 is: 51,932,604.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104,760.13 : 22,907,782.76 = 22,907,782.76 : x
  2. Step 2: Convert to fraction form
    10,104,760.13/22,907,782.76 = 22,907,782.76/x
  3. Step 3: Cross multiply
    10,104,760.13x = 22,907,782.76 × 22,907,782.76
  4. Step 4: Simplify right side
    10,104,760.13x = 524,766,510,879,108.81
  5. Step 5: Solve for x
    x = 524,766,510,879,108.81/10,104,760.13
  6. Step 6: Final answer
    x = 51,932,604.47

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.