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Finding the Third Proportional to 7,765,048 and 12,010,965

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Solution

The third proportional to 7,765,048 and 12,010,965 is: 18,578,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765,048 : 12,010,965 = 12,010,965 : x
  2. Step 2: Convert to fraction form
    7,765,048/12,010,965 = 12,010,965/x
  3. Step 3: Cross multiply
    7,765,048x = 12,010,965 × 12,010,965
  4. Step 4: Simplify right side
    7,765,048x = 144,263,280,231,225
  5. Step 5: Solve for x
    x = 144,263,280,231,225/7,765,048
  6. Step 6: Final answer
    x = 18,578,543.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.