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Finding the Third Proportional to 1,686,925,901,529 and 2,569,857,314,064

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Solution

The third proportional to 1,686,925,901,529 and 2,569,857,314,064 is: 3,914,912,094,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686,925,901,529 : 2,569,857,314,064 = 2,569,857,314,064 : x
  2. Step 2: Convert to fraction form
    1,686,925,901,529/2,569,857,314,064 = 2,569,857,314,064/x
  3. Step 3: Cross multiply
    1,686,925,901,529x = 2,569,857,314,064 × 2,569,857,314,064
  4. Step 4: Simplify right side
    1,686,925,901,529x = 6,604,166,614,648,236,084,822,016
  5. Step 5: Solve for x
    x = 6,604,166,614,648,236,084,822,016/1,686,925,901,529
  6. Step 6: Final answer
    x = 3,914,912,094,634.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.