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Finding the Third Proportional to 235,495,641,222 and 513,613,515,114

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Solution

The third proportional to 235,495,641,222 and 513,613,515,114 is: 1,120,185,671,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,495,641,222 : 513,613,515,114 = 513,613,515,114 : x
  2. Step 2: Convert to fraction form
    235,495,641,222/513,613,515,114 = 513,613,515,114/x
  3. Step 3: Cross multiply
    235,495,641,222x = 513,613,515,114 × 513,613,515,114
  4. Step 4: Simplify right side
    235,495,641,222x = 263,798,842,907,759,105,540,096
  5. Step 5: Solve for x
    x = 263,798,842,907,759,105,540,096/235,495,641,222
  6. Step 6: Final answer
    x = 1,120,185,671,118.55

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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.