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Finding the Third Proportional to 2,656,467,399 and 5,813,355,027

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Solution

The third proportional to 2,656,467,399 and 5,813,355,027 is: 12,721,818,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656,467,399 : 5,813,355,027 = 5,813,355,027 : x
  2. Step 2: Convert to fraction form
    2,656,467,399/5,813,355,027 = 5,813,355,027/x
  3. Step 3: Cross multiply
    2,656,467,399x = 5,813,355,027 × 5,813,355,027
  4. Step 4: Simplify right side
    2,656,467,399x = 33,795,096,669,946,171,392
  5. Step 5: Solve for x
    x = 33,795,096,669,946,171,392/2,656,467,399
  6. Step 6: Final answer
    x = 12,721,818,714.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.