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Finding the Third Proportional to 7,702,178 and 11,994,927

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Solution

The third proportional to 7,702,178 and 11,994,927 is: 18,680,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702,178 : 11,994,927 = 11,994,927 : x
  2. Step 2: Convert to fraction form
    7,702,178/11,994,927 = 11,994,927/x
  3. Step 3: Cross multiply
    7,702,178x = 11,994,927 × 11,994,927
  4. Step 4: Simplify right side
    7,702,178x = 143,878,273,735,329
  5. Step 5: Solve for x
    x = 143,878,273,735,329/7,702,178
  6. Step 6: Final answer
    x = 18,680,206.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.