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Finding the Third Proportional to 534,107,178 and 1,138,762,572

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Solution

The third proportional to 534,107,178 and 1,138,762,572 is: 2,427,940,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,107,178 : 1,138,762,572 = 1,138,762,572 : x
  2. Step 2: Convert to fraction form
    534,107,178/1,138,762,572 = 1,138,762,572/x
  3. Step 3: Cross multiply
    534,107,178x = 1,138,762,572 × 1,138,762,572
  4. Step 4: Simplify right side
    534,107,178x = 1,296,780,195,388,055,296
  5. Step 5: Solve for x
    x = 1,296,780,195,388,055,296/534,107,178
  6. Step 6: Final answer
    x = 2,427,940,025.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.