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Finding the Third Proportional to 34,514,265,267 and 74,270,664,558

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Solution

The third proportional to 34,514,265,267 and 74,270,664,558 is: 159,821,788,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,514,265,267 : 74,270,664,558 = 74,270,664,558 : x
  2. Step 2: Convert to fraction form
    34,514,265,267/74,270,664,558 = 74,270,664,558/x
  3. Step 3: Cross multiply
    34,514,265,267x = 74,270,664,558 × 74,270,664,558
  4. Step 4: Simplify right side
    34,514,265,267x = 5,516,131,613,886,957,748,224
  5. Step 5: Solve for x
    x = 5,516,131,613,886,957,748,224/34,514,265,267
  6. Step 6: Final answer
    x = 159,821,788,794.13

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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.