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Finding the Third Proportional to 53,267,930,370 and 115,913,162,186

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Solution

The third proportional to 53,267,930,370 and 115,913,162,186 is: 252,231,710,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,267,930,370 : 115,913,162,186 = 115,913,162,186 : x
  2. Step 2: Convert to fraction form
    53,267,930,370/115,913,162,186 = 115,913,162,186/x
  3. Step 3: Cross multiply
    53,267,930,370x = 115,913,162,186 × 115,913,162,186
  4. Step 4: Simplify right side
    53,267,930,370x = 13,435,861,167,957,939,847,168
  5. Step 5: Solve for x
    x = 13,435,861,167,957,939,847,168/53,267,930,370
  6. Step 6: Final answer
    x = 252,231,710,048.28

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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.