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Finding the Third Proportional to 1,529,162,229 and 2,359,219,032

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Solution

The third proportional to 1,529,162,229 and 2,359,219,032 is: 3,639,845,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529,162,229 : 2,359,219,032 = 2,359,219,032 : x
  2. Step 2: Convert to fraction form
    1,529,162,229/2,359,219,032 = 2,359,219,032/x
  3. Step 3: Cross multiply
    1,529,162,229x = 2,359,219,032 × 2,359,219,032
  4. Step 4: Simplify right side
    1,529,162,229x = 5,565,914,440,951,017,472
  5. Step 5: Solve for x
    x = 5,565,914,440,951,017,472/1,529,162,229
  6. Step 6: Final answer
    x = 3,639,845,619.64

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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.