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Finding the Third Proportional to 55,514,294 and 120,295,636

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Solution

The third proportional to 55,514,294 and 120,295,636 is: 260,672,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,514,294 : 120,295,636 = 120,295,636 : x
  2. Step 2: Convert to fraction form
    55,514,294/120,295,636 = 120,295,636/x
  3. Step 3: Cross multiply
    55,514,294x = 120,295,636 × 120,295,636
  4. Step 4: Simplify right side
    55,514,294x = 14,471,040,040,644,496
  5. Step 5: Solve for x
    x = 14,471,040,040,644,496/55,514,294
  6. Step 6: Final answer
    x = 260,672,324.15

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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.