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Finding the Third Proportional to 10,794,434 and 23,189,716

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Solution

The third proportional to 10,794,434 and 23,189,716 is: 49,818,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794,434 : 23,189,716 = 23,189,716 : x
  2. Step 2: Convert to fraction form
    10,794,434/23,189,716 = 23,189,716/x
  3. Step 3: Cross multiply
    10,794,434x = 23,189,716 × 23,189,716
  4. Step 4: Simplify right side
    10,794,434x = 537,762,928,160,656
  5. Step 5: Solve for x
    x = 537,762,928,160,656/10,794,434
  6. Step 6: Final answer
    x = 49,818,538.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.