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Finding the Third Proportional to 7,990,284 and 17,609,262

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Solution

The third proportional to 7,990,284 and 17,609,262 is: 38,807,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990,284 : 17,609,262 = 17,609,262 : x
  2. Step 2: Convert to fraction form
    7,990,284/17,609,262 = 17,609,262/x
  3. Step 3: Cross multiply
    7,990,284x = 17,609,262 × 17,609,262
  4. Step 4: Simplify right side
    7,990,284x = 310,086,108,184,644
  5. Step 5: Solve for x
    x = 310,086,108,184,644/7,990,284
  6. Step 6: Final answer
    x = 38,807,895.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.