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Finding the Third Proportional to 5,835,576 and 9,376,100

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Solution

The third proportional to 5,835,576 and 9,376,100 is: 15,064,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835,576 : 9,376,100 = 9,376,100 : x
  2. Step 2: Convert to fraction form
    5,835,576/9,376,100 = 9,376,100/x
  3. Step 3: Cross multiply
    5,835,576x = 9,376,100 × 9,376,100
  4. Step 4: Simplify right side
    5,835,576x = 87,911,251,210,000
  5. Step 5: Solve for x
    x = 87,911,251,210,000/5,835,576
  6. Step 6: Final answer
    x = 15,064,708.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.