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Finding the Third Proportional to 832,858,260.75 and 1,829,134,834.03

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Solution

The third proportional to 832,858,260.75 and 1,829,134,834.03 is: 4,017,171,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,858,260.75 : 1,829,134,834.03 = 1,829,134,834.03 : x
  2. Step 2: Convert to fraction form
    832,858,260.75/1,829,134,834.03 = 1,829,134,834.03/x
  3. Step 3: Cross multiply
    832,858,260.75x = 1,829,134,834.03 × 1,829,134,834.03
  4. Step 4: Simplify right side
    832,858,260.75x = 3,345,734,241,066,345,472
  5. Step 5: Solve for x
    x = 3,345,734,241,066,345,472/832,858,260.75
  6. Step 6: Final answer
    x = 4,017,171,226.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.