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Finding the Third Proportional to 6,994,788,997.50 and 10,002,630,609

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Solution

The third proportional to 6,994,788,997.50 and 10,002,630,609 is: 14,303,879,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994,788,997.50 : 10,002,630,609 = 10,002,630,609 : x
  2. Step 2: Convert to fraction form
    6,994,788,997.50/10,002,630,609 = 10,002,630,609/x
  3. Step 3: Cross multiply
    6,994,788,997.50x = 10,002,630,609 × 10,002,630,609
  4. Step 4: Simplify right side
    6,994,788,997.50x = 100,052,619,100,103,704,576
  5. Step 5: Solve for x
    x = 100,052,619,100,103,704,576/6,994,788,997.50
  6. Step 6: Final answer
    x = 14,303,879,521.72

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1.5x scale

Why These Related Problems?

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