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Finding the Third Proportional to 837,919,465,728 and 1,838,064,456,192

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Solution

The third proportional to 837,919,465,728 and 1,838,064,456,192 is: 4,031,987,659,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,919,465,728 : 1,838,064,456,192 = 1,838,064,456,192 : x
  2. Step 2: Convert to fraction form
    837,919,465,728/1,838,064,456,192 = 1,838,064,456,192/x
  3. Step 3: Cross multiply
    837,919,465,728x = 1,838,064,456,192 × 1,838,064,456,192
  4. Step 4: Simplify right side
    837,919,465,728x = 3,378,480,945,116,392,682,684,416
  5. Step 5: Solve for x
    x = 3,378,480,945,116,392,682,684,416/837,919,465,728
  6. Step 6: Final answer
    x = 4,031,987,659,077.84

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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.