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Finding the Third Proportional to 1,140,894,045 and 2,404,337,175

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Solution

The third proportional to 1,140,894,045 and 2,404,337,175 is: 5,066,936,124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,894,045 : 2,404,337,175 = 2,404,337,175 : x
  2. Step 2: Convert to fraction form
    1,140,894,045/2,404,337,175 = 2,404,337,175/x
  3. Step 3: Cross multiply
    1,140,894,045x = 2,404,337,175 × 2,404,337,175
  4. Step 4: Simplify right side
    1,140,894,045x = 5,780,837,251,086,981,120
  5. Step 5: Solve for x
    x = 5,780,837,251,086,981,120/1,140,894,045
  6. Step 6: Final answer
    x = 5,066,936,124.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.