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Finding the Third Proportional to 1,883,965,129,692 and 4,108,908,120,744

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Solution

The third proportional to 1,883,965,129,692 and 4,108,908,120,744 is: 8,961,485,368,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883,965,129,692 : 4,108,908,120,744 = 4,108,908,120,744 : x
  2. Step 2: Convert to fraction form
    1,883,965,129,692/4,108,908,120,744 = 4,108,908,120,744/x
  3. Step 3: Cross multiply
    1,883,965,129,692x = 4,108,908,120,744 × 4,108,908,120,744
  4. Step 4: Simplify right side
    1,883,965,129,692x = 16,883,125,944,715,989,139,587,072
  5. Step 5: Solve for x
    x = 16,883,125,944,715,989,139,587,072/1,883,965,129,692
  6. Step 6: Final answer
    x = 8,961,485,368,615.14

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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.