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Finding the Third Proportional to 459,052,146 and 996,042,390.75

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Solution

The third proportional to 459,052,146 and 996,042,390.75 is: 2,161,193,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,052,146 : 996,042,390.75 = 996,042,390.75 : x
  2. Step 2: Convert to fraction form
    459,052,146/996,042,390.75 = 996,042,390.75/x
  3. Step 3: Cross multiply
    459,052,146x = 996,042,390.75 × 996,042,390.75
  4. Step 4: Simplify right side
    459,052,146x = 992,100,444,170,975,744
  5. Step 5: Solve for x
    x = 992,100,444,170,975,744/459,052,146
  6. Step 6: Final answer
    x = 2,161,193,347.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.