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Finding the Third Proportional to 29,147,343,780 and 44,781,672,295

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Solution

The third proportional to 29,147,343,780 and 44,781,672,295 is: 68,802,090,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,147,343,780 : 44,781,672,295 = 44,781,672,295 : x
  2. Step 2: Convert to fraction form
    29,147,343,780/44,781,672,295 = 44,781,672,295/x
  3. Step 3: Cross multiply
    29,147,343,780x = 44,781,672,295 × 44,781,672,295
  4. Step 4: Simplify right side
    29,147,343,780x = 2,005,398,173,536,770,588,672
  5. Step 5: Solve for x
    x = 2,005,398,173,536,770,588,672/29,147,343,780
  6. Step 6: Final answer
    x = 68,802,090,120.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.