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Finding the Third Proportional to 668,658,453,660 and 1,022,434,709,184

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Solution

The third proportional to 668,658,453,660 and 1,022,434,709,184 is: 1,563,388,197,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,658,453,660 : 1,022,434,709,184 = 1,022,434,709,184 : x
  2. Step 2: Convert to fraction form
    668,658,453,660/1,022,434,709,184 = 1,022,434,709,184/x
  3. Step 3: Cross multiply
    668,658,453,660x = 1,022,434,709,184 × 1,022,434,709,184
  4. Step 4: Simplify right side
    668,658,453,660x = 1,045,372,734,544,170,719,379,456
  5. Step 5: Solve for x
    x = 1,045,372,734,544,170,719,379,456/668,658,453,660
  6. Step 6: Final answer
    x = 1,563,388,197,400.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.