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Finding the Third Proportional to 344,548,971 and 529,595,536.50

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Solution

The third proportional to 344,548,971 and 529,595,536.50 is: 814,024,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,548,971 : 529,595,536.50 = 529,595,536.50 : x
  2. Step 2: Convert to fraction form
    344,548,971/529,595,536.50 = 529,595,536.50/x
  3. Step 3: Cross multiply
    344,548,971x = 529,595,536.50 × 529,595,536.50
  4. Step 4: Simplify right side
    344,548,971x = 280,471,432,280,722,848
  5. Step 5: Solve for x
    x = 280,471,432,280,722,848/344,548,971
  6. Step 6: Final answer
    x = 814,024,872.77

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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.