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Finding the Third Proportional to 2,482,452,933 and 5,400,750,502.50

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Solution

The third proportional to 2,482,452,933 and 5,400,750,502.50 is: 11,749,711,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482,452,933 : 5,400,750,502.50 = 5,400,750,502.50 : x
  2. Step 2: Convert to fraction form
    2,482,452,933/5,400,750,502.50 = 5,400,750,502.50/x
  3. Step 3: Cross multiply
    2,482,452,933x = 5,400,750,502.50 × 5,400,750,502.50
  4. Step 4: Simplify right side
    2,482,452,933x = 29,168,105,990,254,002,176
  5. Step 5: Solve for x
    x = 29,168,105,990,254,002,176/2,482,452,933
  6. Step 6: Final answer
    x = 11,749,711,586.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.