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Finding the Third Proportional to 235,495,641,241 and 513,613,515,151

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Solution

The third proportional to 235,495,641,241 and 513,613,515,151 is: 1,120,185,671,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,495,641,241 : 513,613,515,151 = 513,613,515,151 : x
  2. Step 2: Convert to fraction form
    235,495,641,241/513,613,515,151 = 513,613,515,151/x
  3. Step 3: Cross multiply
    235,495,641,241x = 513,613,515,151 × 513,613,515,151
  4. Step 4: Simplify right side
    235,495,641,241x = 263,798,842,945,766,512,656,384
  5. Step 5: Solve for x
    x = 263,798,842,945,766,512,656,384/235,495,641,241
  6. Step 6: Final answer
    x = 1,120,185,671,189.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.