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Finding the Third Proportional to 459,051,759 and 996,041,621

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Solution

The third proportional to 459,051,759 and 996,041,621 is: 2,161,191,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,051,759 : 996,041,621 = 996,041,621 : x
  2. Step 2: Convert to fraction form
    459,051,759/996,041,621 = 996,041,621/x
  3. Step 3: Cross multiply
    459,051,759x = 996,041,621 × 996,041,621
  4. Step 4: Simplify right side
    459,051,759x = 992,098,910,764,307,584
  5. Step 5: Solve for x
    x = 992,098,910,764,307,584/459,051,759
  6. Step 6: Final answer
    x = 2,161,191,829.27

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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.