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Finding the Third Proportional to 536,761,872 and 1,174,020,768

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Solution

The third proportional to 536,761,872 and 1,174,020,768 is: 2,567,851,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,761,872 : 1,174,020,768 = 1,174,020,768 : x
  2. Step 2: Convert to fraction form
    536,761,872/1,174,020,768 = 1,174,020,768/x
  3. Step 3: Cross multiply
    536,761,872x = 1,174,020,768 × 1,174,020,768
  4. Step 4: Simplify right side
    536,761,872x = 1,378,324,763,695,309,824
  5. Step 5: Solve for x
    x = 1,378,324,763,695,309,824/536,761,872
  6. Step 6: Final answer
    x = 2,567,851,473.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.