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Finding the Third Proportional to 20,994,981.75 and 31,492,482.75

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Solution

The third proportional to 20,994,981.75 and 31,492,482.75 is: 47,238,739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994,981.75 : 31,492,482.75 = 31,492,482.75 : x
  2. Step 2: Convert to fraction form
    20,994,981.75/31,492,482.75 = 31,492,482.75/x
  3. Step 3: Cross multiply
    20,994,981.75x = 31,492,482.75 × 31,492,482.75
  4. Step 4: Simplify right side
    20,994,981.75x = 991,776,469,759,047.50
  5. Step 5: Solve for x
    x = 991,776,469,759,047.50/20,994,981.75
  6. Step 6: Final answer
    x = 47,238,739.31

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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.