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Finding the Third Proportional to 4,649,562 and 10,011,600

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Solution

The third proportional to 4,649,562 and 10,011,600 is: 21,557,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,562 : 10,011,600 = 10,011,600 : x
  2. Step 2: Convert to fraction form
    4,649,562/10,011,600 = 10,011,600/x
  3. Step 3: Cross multiply
    4,649,562x = 10,011,600 × 10,011,600
  4. Step 4: Simplify right side
    4,649,562x = 100,232,134,560,000
  5. Step 5: Solve for x
    x = 100,232,134,560,000/4,649,562
  6. Step 6: Final answer
    x = 21,557,328.32

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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.