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Finding the Third Proportional to 344,546,674 and 529,592,982

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Solution

The third proportional to 344,546,674 and 529,592,982 is: 814,022,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,546,674 : 529,592,982 = 529,592,982 : x
  2. Step 2: Convert to fraction form
    344,546,674/529,592,982 = 529,592,982/x
  3. Step 3: Cross multiply
    344,546,674x = 529,592,982 × 529,592,982
  4. Step 4: Simplify right side
    344,546,674x = 280,468,726,583,652,320
  5. Step 5: Solve for x
    x = 280,468,726,583,652,320/344,546,674
  6. Step 6: Final answer
    x = 814,022,446.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.