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Finding the Third Proportional to 235,495,641,248 and 513,613,515,164

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Solution

The third proportional to 235,495,641,248 and 513,613,515,164 is: 1,120,185,671,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,495,641,248 : 513,613,515,164 = 513,613,515,164 : x
  2. Step 2: Convert to fraction form
    235,495,641,248/513,613,515,164 = 513,613,515,164/x
  3. Step 3: Cross multiply
    235,495,641,248x = 513,613,515,164 × 513,613,515,164
  4. Step 4: Simplify right side
    235,495,641,248x = 263,798,842,959,120,471,949,312
  5. Step 5: Solve for x
    x = 263,798,842,959,120,471,949,312/235,495,641,248
  6. Step 6: Final answer
    x = 1,120,185,671,212.97

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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.