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Finding the Third Proportional to 6,562,524 and 10,271,220

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Solution

The third proportional to 6,562,524 and 10,271,220 is: 16,075,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562,524 : 10,271,220 = 10,271,220 : x
  2. Step 2: Convert to fraction form
    6,562,524/10,271,220 = 10,271,220/x
  3. Step 3: Cross multiply
    6,562,524x = 10,271,220 × 10,271,220
  4. Step 4: Simplify right side
    6,562,524x = 105,497,960,288,400
  5. Step 5: Solve for x
    x = 105,497,960,288,400/6,562,524
  6. Step 6: Final answer
    x = 16,075,820.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.