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Finding the Third Proportional to 331,634,682 and 709,856,154.75

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Solution

The third proportional to 331,634,682 and 709,856,154.75 is: 1,519,430,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,634,682 : 709,856,154.75 = 709,856,154.75 : x
  2. Step 2: Convert to fraction form
    331,634,682/709,856,154.75 = 709,856,154.75/x
  3. Step 3: Cross multiply
    331,634,682x = 709,856,154.75 × 709,856,154.75
  4. Step 4: Simplify right side
    331,634,682x = 503,895,760,436,455,936
  5. Step 5: Solve for x
    x = 503,895,760,436,455,936/331,634,682
  6. Step 6: Final answer
    x = 1,519,430,227.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.