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Finding the Third Proportional to 568,796,748 and 1,218,214,956

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Solution

The third proportional to 568,796,748 and 1,218,214,956 is: 2,609,100,147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,796,748 : 1,218,214,956 = 1,218,214,956 : x
  2. Step 2: Convert to fraction form
    568,796,748/1,218,214,956 = 1,218,214,956/x
  3. Step 3: Cross multiply
    568,796,748x = 1,218,214,956 × 1,218,214,956
  4. Step 4: Simplify right side
    568,796,748x = 1,484,047,679,022,082,048
  5. Step 5: Solve for x
    x = 1,484,047,679,022,082,048/568,796,748
  6. Step 6: Final answer
    x = 2,609,100,147.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.