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Finding the Third Proportional to 1,617,311,859.75 and 2,311,176,074.63

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Solution

The third proportional to 1,617,311,859.75 and 2,311,176,074.63 is: 3,302,724,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,311,859.75 : 2,311,176,074.63 = 2,311,176,074.63 : x
  2. Step 2: Convert to fraction form
    1,617,311,859.75/2,311,176,074.63 = 2,311,176,074.63/x
  3. Step 3: Cross multiply
    1,617,311,859.75x = 2,311,176,074.63 × 2,311,176,074.63
  4. Step 4: Simplify right side
    1,617,311,859.75x = 5,341,534,847,919,023,104
  5. Step 5: Solve for x
    x = 5,341,534,847,919,023,104/1,617,311,859.75
  6. Step 6: Final answer
    x = 3,302,724,094.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.