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Finding the Third Proportional to 389,575,703,979 and 837,781,211,796.75

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Solution

The third proportional to 389,575,703,979 and 837,781,211,796.75 is: 1,801,645,615,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,575,703,979 : 837,781,211,796.75 = 837,781,211,796.75 : x
  2. Step 2: Convert to fraction form
    389,575,703,979/837,781,211,796.75 = 837,781,211,796.75/x
  3. Step 3: Cross multiply
    389,575,703,979x = 837,781,211,796.75 × 837,781,211,796.75
  4. Step 4: Simplify right side
    389,575,703,979x = 701,877,358,839,630,886,076,416
  5. Step 5: Solve for x
    x = 701,877,358,839,630,886,076,416/389,575,703,979
  6. Step 6: Final answer
    x = 1,801,645,615,142.02

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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.