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Finding the Third Proportional to 17,680,209 and 26,586,114

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Solution

The third proportional to 17,680,209 and 26,586,114 is: 39,978,116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680,209 : 26,586,114 = 26,586,114 : x
  2. Step 2: Convert to fraction form
    17,680,209/26,586,114 = 26,586,114/x
  3. Step 3: Cross multiply
    17,680,209x = 26,586,114 × 26,586,114
  4. Step 4: Simplify right side
    17,680,209x = 706,821,457,620,996
  5. Step 5: Solve for x
    x = 706,821,457,620,996/17,680,209
  6. Step 6: Final answer
    x = 39,978,116.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.