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Finding the Third Proportional to 222,051,438 and 481,170,870

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Solution

The third proportional to 222,051,438 and 481,170,870 is: 1,042,665,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,051,438 : 481,170,870 = 481,170,870 : x
  2. Step 2: Convert to fraction form
    222,051,438/481,170,870 = 481,170,870/x
  3. Step 3: Cross multiply
    222,051,438x = 481,170,870 × 481,170,870
  4. Step 4: Simplify right side
    222,051,438x = 231,525,406,136,556,896
  5. Step 5: Solve for x
    x = 231,525,406,136,556,896/222,051,438
  6. Step 6: Final answer
    x = 1,042,665,646.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.