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Finding the Third Proportional to 331,634,673.14 and 709,856,137.27

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Solution

The third proportional to 331,634,673.14 and 709,856,137.27 is: 1,519,430,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,634,673.14 : 709,856,137.27 = 709,856,137.27 : x
  2. Step 2: Convert to fraction form
    331,634,673.14/709,856,137.27 = 709,856,137.27/x
  3. Step 3: Cross multiply
    331,634,673.14x = 709,856,137.27 × 709,856,137.27
  4. Step 4: Simplify right side
    331,634,673.14x = 503,895,735,613,638,272
  5. Step 5: Solve for x
    x = 503,895,735,613,638,272/331,634,673.14
  6. Step 6: Final answer
    x = 1,519,430,193.60

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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.