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Finding the Third Proportional to 707,001,059 and 1,536,381,171

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Solution

The third proportional to 707,001,059 and 1,536,381,171 is: 3,338,703,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,001,059 : 1,536,381,171 = 1,536,381,171 : x
  2. Step 2: Convert to fraction form
    707,001,059/1,536,381,171 = 1,536,381,171/x
  3. Step 3: Cross multiply
    707,001,059x = 1,536,381,171 × 1,536,381,171
  4. Step 4: Simplify right side
    707,001,059x = 2,360,467,102,603,331,072
  5. Step 5: Solve for x
    x = 2,360,467,102,603,331,072/707,001,059
  6. Step 6: Final answer
    x = 3,338,703,772.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.