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Finding the Third Proportional to 1,895,127,624 and 4,089,900,633.75

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Solution

The third proportional to 1,895,127,624 and 4,089,900,633.75 is: 8,826,470,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895,127,624 : 4,089,900,633.75 = 4,089,900,633.75 : x
  2. Step 2: Convert to fraction form
    1,895,127,624/4,089,900,633.75 = 4,089,900,633.75/x
  3. Step 3: Cross multiply
    1,895,127,624x = 4,089,900,633.75 × 4,089,900,633.75
  4. Step 4: Simplify right side
    1,895,127,624x = 16,727,287,193,948,651,520
  5. Step 5: Solve for x
    x = 16,727,287,193,948,651,520/1,895,127,624
  6. Step 6: Final answer
    x = 8,826,470,039.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.