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Finding the Third Proportional to 53,267,930,365.50 and 115,913,162,178

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Solution

The third proportional to 53,267,930,365.50 and 115,913,162,178 is: 252,231,710,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,267,930,365.50 : 115,913,162,178 = 115,913,162,178 : x
  2. Step 2: Convert to fraction form
    53,267,930,365.50/115,913,162,178 = 115,913,162,178/x
  3. Step 3: Cross multiply
    53,267,930,365.50x = 115,913,162,178 × 115,913,162,178
  4. Step 4: Simplify right side
    53,267,930,365.50x = 13,435,861,166,103,329,767,424
  5. Step 5: Solve for x
    x = 13,435,861,166,103,329,767,424/53,267,930,365.50
  6. Step 6: Final answer
    x = 252,231,710,034.77

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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.