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Finding the Third Proportional to 1,630,226,649 and 3,580,716,006

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Solution

The third proportional to 1,630,226,649 and 3,580,716,006 is: 7,864,873,956.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,226,649 : 3,580,716,006 = 3,580,716,006 : x
  2. Step 2: Convert to fraction form
    1,630,226,649/3,580,716,006 = 3,580,716,006/x
  3. Step 3: Cross multiply
    1,630,226,649x = 3,580,716,006 × 3,580,716,006
  4. Step 4: Simplify right side
    1,630,226,649x = 12,821,527,115,624,591,360
  5. Step 5: Solve for x
    x = 12,821,527,115,624,591,360/1,630,226,649
  6. Step 6: Final answer
    x = 7,864,873,956.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.