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Finding the Third Proportional to 20,699,363,182.50 and 45,025,468,377.75

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Solution

The third proportional to 20,699,363,182.50 and 45,025,468,377.75 is: 97,939,863,403.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699,363,182.50 : 45,025,468,377.75 = 45,025,468,377.75 : x
  2. Step 2: Convert to fraction form
    20,699,363,182.50/45,025,468,377.75 = 45,025,468,377.75/x
  3. Step 3: Cross multiply
    20,699,363,182.50x = 45,025,468,377.75 × 45,025,468,377.75
  4. Step 4: Simplify right side
    20,699,363,182.50x = 2,027,292,802,635,765,121,024
  5. Step 5: Solve for x
    x = 2,027,292,802,635,765,121,024/20,699,363,182.50
  6. Step 6: Final answer
    x = 97,939,863,403.61

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