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Finding the Third Proportional to 682,474,870.69 and 1,470,075,414.19

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Solution

The third proportional to 682,474,870.69 and 1,470,075,414.19 is: 3,166,595,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,474,870.69 : 1,470,075,414.19 = 1,470,075,414.19 : x
  2. Step 2: Convert to fraction form
    682,474,870.69/1,470,075,414.19 = 1,470,075,414.19/x
  3. Step 3: Cross multiply
    682,474,870.69x = 1,470,075,414.19 × 1,470,075,414.19
  4. Step 4: Simplify right side
    682,474,870.69x = 2,161,121,723,398,549,760
  5. Step 5: Solve for x
    x = 2,161,121,723,398,549,760/682,474,870.69
  6. Step 6: Final answer
    x = 3,166,595,308.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.