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Finding the Third Proportional to 344,666,916,980 and 754,261,525,900

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Solution

The third proportional to 344,666,916,980 and 754,261,525,900 is: 1,650,609,389,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,666,916,980 : 754,261,525,900 = 754,261,525,900 : x
  2. Step 2: Convert to fraction form
    344,666,916,980/754,261,525,900 = 754,261,525,900/x
  3. Step 3: Cross multiply
    344,666,916,980x = 754,261,525,900 × 754,261,525,900
  4. Step 4: Simplify right side
    344,666,916,980x = 568,910,449,452,996,364,337,152
  5. Step 5: Solve for x
    x = 568,910,449,452,996,364,337,152/344,666,916,980
  6. Step 6: Final answer
    x = 1,650,609,389,603.84

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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.