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Finding the Third Proportional to 386,741,744,816 and 832,256,630,200

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Solution

The third proportional to 386,741,744,816 and 832,256,630,200 is: 1,790,991,295,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,741,744,816 : 832,256,630,200 = 832,256,630,200 : x
  2. Step 2: Convert to fraction form
    386,741,744,816/832,256,630,200 = 832,256,630,200/x
  3. Step 3: Cross multiply
    386,741,744,816x = 832,256,630,200 × 832,256,630,200
  4. Step 4: Simplify right side
    386,741,744,816x = 692,651,098,511,859,576,209,408
  5. Step 5: Solve for x
    x = 692,651,098,511,859,576,209,408/386,741,744,816
  6. Step 6: Final answer
    x = 1,790,991,295,344.65

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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.