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Finding the Third Proportional to 57,897,956,816 and 126,048,195,520

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Solution

The third proportional to 57,897,956,816 and 126,048,195,520 is: 274,416,377,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,897,956,816 : 126,048,195,520 = 126,048,195,520 : x
  2. Step 2: Convert to fraction form
    57,897,956,816/126,048,195,520 = 126,048,195,520/x
  3. Step 3: Cross multiply
    57,897,956,816x = 126,048,195,520 × 126,048,195,520
  4. Step 4: Simplify right side
    57,897,956,816x = 15,888,147,593,848,147,673,088
  5. Step 5: Solve for x
    x = 15,888,147,593,848,147,673,088/57,897,956,816
  6. Step 6: Final answer
    x = 274,416,377,841.12

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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.