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Finding the Third Proportional to 344,666,916,978 and 754,261,525,896

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Solution

The third proportional to 344,666,916,978 and 754,261,525,896 is: 1,650,609,389,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,666,916,978 : 754,261,525,896 = 754,261,525,896 : x
  2. Step 2: Convert to fraction form
    344,666,916,978/754,261,525,896 = 754,261,525,896/x
  3. Step 3: Cross multiply
    344,666,916,978x = 754,261,525,896 × 754,261,525,896
  4. Step 4: Simplify right side
    344,666,916,978x = 568,910,449,446,962,270,830,592
  5. Step 5: Solve for x
    x = 568,910,449,446,962,270,830,592/344,666,916,978
  6. Step 6: Final answer
    x = 1,650,609,389,595.91

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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.