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Finding the Third Proportional to 668,658,453,662 and 1,022,434,709,187

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Solution

The third proportional to 668,658,453,662 and 1,022,434,709,187 is: 1,563,388,197,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,658,453,662 : 1,022,434,709,187 = 1,022,434,709,187 : x
  2. Step 2: Convert to fraction form
    668,658,453,662/1,022,434,709,187 = 1,022,434,709,187/x
  3. Step 3: Cross multiply
    668,658,453,662x = 1,022,434,709,187 × 1,022,434,709,187
  4. Step 4: Simplify right side
    668,658,453,662x = 1,045,372,734,550,305,274,855,424
  5. Step 5: Solve for x
    x = 1,045,372,734,550,305,274,855,424/668,658,453,662
  6. Step 6: Final answer
    x = 1,563,388,197,405.08

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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.