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Finding the Third Proportional to 389,575,704,012 and 837,781,211,850

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Solution

The third proportional to 389,575,704,012 and 837,781,211,850 is: 1,801,645,615,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,575,704,012 : 837,781,211,850 = 837,781,211,850 : x
  2. Step 2: Convert to fraction form
    389,575,704,012/837,781,211,850 = 837,781,211,850/x
  3. Step 3: Cross multiply
    389,575,704,012x = 837,781,211,850 × 837,781,211,850
  4. Step 4: Simplify right side
    389,575,704,012x = 701,877,358,928,854,536,683,520
  5. Step 5: Solve for x
    x = 701,877,358,928,854,536,683,520/389,575,704,012
  6. Step 6: Final answer
    x = 1,801,645,615,218.43

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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.