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Finding the Third Proportional to 9,603,816 and 14,649,624

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Solution

The third proportional to 9,603,816 and 14,649,624 is: 22,346,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603,816 : 14,649,624 = 14,649,624 : x
  2. Step 2: Convert to fraction form
    9,603,816/14,649,624 = 14,649,624/x
  3. Step 3: Cross multiply
    9,603,816x = 14,649,624 × 14,649,624
  4. Step 4: Simplify right side
    9,603,816x = 214,611,483,341,376
  5. Step 5: Solve for x
    x = 214,611,483,341,376/9,603,816
  6. Step 6: Final answer
    x = 22,346,480.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.