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Finding the Third Proportional to 1,676,651,551,004 and 3,647,070,179,606

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Solution

The third proportional to 1,676,651,551,004 and 3,647,070,179,606 is: 7,933,145,612,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,651,551,004 : 3,647,070,179,606 = 3,647,070,179,606 : x
  2. Step 2: Convert to fraction form
    1,676,651,551,004/3,647,070,179,606 = 3,647,070,179,606/x
  3. Step 3: Cross multiply
    1,676,651,551,004x = 3,647,070,179,606 × 3,647,070,179,606
  4. Step 4: Simplify right side
    1,676,651,551,004x = 13,301,120,894,971,341,965,361,152
  5. Step 5: Solve for x
    x = 13,301,120,894,971,341,965,361,152/1,676,651,551,004
  6. Step 6: Final answer
    x = 7,933,145,612,161.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.