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Finding the Third Proportional to 130,003,409,430 and 263,662,218,861.76

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Solution

The third proportional to 130,003,409,430 and 263,662,218,861.76 is: 534,738,019,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,003,409,430 : 263,662,218,861.76 = 263,662,218,861.76 : x
  2. Step 2: Convert to fraction form
    130,003,409,430/263,662,218,861.76 = 263,662,218,861.76/x
  3. Step 3: Cross multiply
    130,003,409,430x = 263,662,218,861.76 × 263,662,218,861.76
  4. Step 4: Simplify right side
    130,003,409,430x = 69,517,765,655,106,634,645,504
  5. Step 5: Solve for x
    x = 69,517,765,655,106,634,645,504/130,003,409,430
  6. Step 6: Final answer
    x = 534,738,019,255.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.