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Finding the Third Proportional to 389,575,703,965 and 837,781,211,767

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Solution

The third proportional to 389,575,703,965 and 837,781,211,767 is: 1,801,645,615,078.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,575,703,965 : 837,781,211,767 = 837,781,211,767 : x
  2. Step 2: Convert to fraction form
    389,575,703,965/837,781,211,767 = 837,781,211,767/x
  3. Step 3: Cross multiply
    389,575,703,965x = 837,781,211,767 × 837,781,211,767
  4. Step 4: Simplify right side
    389,575,703,965x = 701,877,358,789,782,958,768,128
  5. Step 5: Solve for x
    x = 701,877,358,789,782,958,768,128/389,575,703,965
  6. Step 6: Final answer
    x = 1,801,645,615,078.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.