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Finding the Third Proportional to 9,937,907 and 14,847,523

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Solution

The third proportional to 9,937,907 and 14,847,523 is: 22,182,632.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937,907 : 14,847,523 = 14,847,523 : x
  2. Step 2: Convert to fraction form
    9,937,907/14,847,523 = 14,847,523/x
  3. Step 3: Cross multiply
    9,937,907x = 14,847,523 × 14,847,523
  4. Step 4: Simplify right side
    9,937,907x = 220,448,939,235,529
  5. Step 5: Solve for x
    x = 220,448,939,235,529/9,937,907
  6. Step 6: Final answer
    x = 22,182,632.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.