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Finding the Third Proportional to 6,804,450,152 and 10,674,164,832

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Solution

The third proportional to 6,804,450,152 and 10,674,164,832 is: 16,744,599,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804,450,152 : 10,674,164,832 = 10,674,164,832 : x
  2. Step 2: Convert to fraction form
    6,804,450,152/10,674,164,832 = 10,674,164,832/x
  3. Step 3: Cross multiply
    6,804,450,152x = 10,674,164,832 × 10,674,164,832
  4. Step 4: Simplify right side
    6,804,450,152x = 113,937,794,860,705,595,392
  5. Step 5: Solve for x
    x = 113,937,794,860,705,595,392/6,804,450,152
  6. Step 6: Final answer
    x = 16,744,599,830.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.