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Finding the Third Proportional to 435,219,879.75 and 955,939,853.25

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Solution

The third proportional to 435,219,879.75 and 955,939,853.25 is: 2,099,676,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,219,879.75 : 955,939,853.25 = 955,939,853.25 : x
  2. Step 2: Convert to fraction form
    435,219,879.75/955,939,853.25 = 955,939,853.25/x
  3. Step 3: Cross multiply
    435,219,879.75x = 955,939,853.25 × 955,939,853.25
  4. Step 4: Simplify right side
    435,219,879.75x = 913,821,003,031,631,488
  5. Step 5: Solve for x
    x = 913,821,003,031,631,488/435,219,879.75
  6. Step 6: Final answer
    x = 2,099,676,613.02

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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.