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Finding the Third Proportional to 10,776,224.75 and 23,527,666

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Solution

The third proportional to 10,776,224.75 and 23,527,666 is: 51,367,810.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776,224.75 : 23,527,666 = 23,527,666 : x
  2. Step 2: Convert to fraction form
    10,776,224.75/23,527,666 = 23,527,666/x
  3. Step 3: Cross multiply
    10,776,224.75x = 23,527,666 × 23,527,666
  4. Step 4: Simplify right side
    10,776,224.75x = 553,551,067,407,556
  5. Step 5: Solve for x
    x = 553,551,067,407,556/10,776,224.75
  6. Step 6: Final answer
    x = 51,367,810.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.