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Finding the Third Proportional to 3,287,235,544.50 and 7,039,915,233

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Solution

The third proportional to 3,287,235,544.50 and 7,039,915,233 is: 15,076,621,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287,235,544.50 : 7,039,915,233 = 7,039,915,233 : x
  2. Step 2: Convert to fraction form
    3,287,235,544.50/7,039,915,233 = 7,039,915,233/x
  3. Step 3: Cross multiply
    3,287,235,544.50x = 7,039,915,233 × 7,039,915,233
  4. Step 4: Simplify right side
    3,287,235,544.50x = 49,560,406,487,825,440,768
  5. Step 5: Solve for x
    x = 49,560,406,487,825,440,768/3,287,235,544.50
  6. Step 6: Final answer
    x = 15,076,621,622.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.