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Finding the Third Proportional to 130,003,409,448 and 263,662,218,900

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Solution

The third proportional to 130,003,409,448 and 263,662,218,900 is: 534,738,019,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,003,409,448 : 263,662,218,900 = 263,662,218,900 : x
  2. Step 2: Convert to fraction form
    130,003,409,448/263,662,218,900 = 263,662,218,900/x
  3. Step 3: Cross multiply
    130,003,409,448x = 263,662,218,900 × 263,662,218,900
  4. Step 4: Simplify right side
    130,003,409,448x = 69,517,765,675,271,514,488,832
  5. Step 5: Solve for x
    x = 69,517,765,675,271,514,488,832/130,003,409,448
  6. Step 6: Final answer
    x = 534,738,019,336.93

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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.