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Finding the Third Proportional to 324,790,092 and 757,869,737.63

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Solution

The third proportional to 324,790,092 and 757,869,737.63 is: 1,768,423,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,790,092 : 757,869,737.63 = 757,869,737.63 : x
  2. Step 2: Convert to fraction form
    324,790,092/757,869,737.63 = 757,869,737.63/x
  3. Step 3: Cross multiply
    324,790,092x = 757,869,737.63 × 757,869,737.63
  4. Step 4: Simplify right side
    324,790,092x = 574,366,539,207,786,368
  5. Step 5: Solve for x
    x = 574,366,539,207,786,368/324,790,092
  6. Step 6: Final answer
    x = 1,768,423,832.36

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.