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Finding the Third Proportional to 344,666,916,982 and 754,261,525,904

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Solution

The third proportional to 344,666,916,982 and 754,261,525,904 is: 1,650,609,389,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,666,916,982 : 754,261,525,904 = 754,261,525,904 : x
  2. Step 2: Convert to fraction form
    344,666,916,982/754,261,525,904 = 754,261,525,904/x
  3. Step 3: Cross multiply
    344,666,916,982x = 754,261,525,904 × 754,261,525,904
  4. Step 4: Simplify right side
    344,666,916,982x = 568,910,449,459,030,457,843,712
  5. Step 5: Solve for x
    x = 568,910,449,459,030,457,843,712/344,666,916,982
  6. Step 6: Final answer
    x = 1,650,609,389,611.77

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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.