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Finding the Third Proportional to 486,681,616 and 1,082,175,104

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Solution

The third proportional to 486,681,616 and 1,082,175,104 is: 2,406,302,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,681,616 : 1,082,175,104 = 1,082,175,104 : x
  2. Step 2: Convert to fraction form
    486,681,616/1,082,175,104 = 1,082,175,104/x
  3. Step 3: Cross multiply
    486,681,616x = 1,082,175,104 × 1,082,175,104
  4. Step 4: Simplify right side
    486,681,616x = 1,171,102,955,717,410,816
  5. Step 5: Solve for x
    x = 1,171,102,955,717,410,816/486,681,616
  6. Step 6: Final answer
    x = 2,406,302,020.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.