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Finding the Third Proportional to 837,919,465,744 and 1,838,064,456,224

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Solution

The third proportional to 837,919,465,744 and 1,838,064,456,224 is: 4,031,987,659,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,919,465,744 : 1,838,064,456,224 = 1,838,064,456,224 : x
  2. Step 2: Convert to fraction form
    837,919,465,744/1,838,064,456,224 = 1,838,064,456,224/x
  3. Step 3: Cross multiply
    837,919,465,744x = 1,838,064,456,224 × 1,838,064,456,224
  4. Step 4: Simplify right side
    837,919,465,744x = 3,378,480,945,234,028,615,696,384
  5. Step 5: Solve for x
    x = 3,378,480,945,234,028,615,696,384/837,919,465,744
  6. Step 6: Final answer
    x = 4,031,987,659,141.24

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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.