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Finding the Third Proportional to 31,256,999,424 and 67,051,463,040

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Solution

The third proportional to 31,256,999,424 and 67,051,463,040 is: 143,836,541,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,256,999,424 : 67,051,463,040 = 67,051,463,040 : x
  2. Step 2: Convert to fraction form
    31,256,999,424/67,051,463,040 = 67,051,463,040/x
  3. Step 3: Cross multiply
    31,256,999,424x = 67,051,463,040 × 67,051,463,040
  4. Step 4: Simplify right side
    31,256,999,424x = 4,495,898,695,804,485,894,144
  5. Step 5: Solve for x
    x = 4,495,898,695,804,485,894,144/31,256,999,424
  6. Step 6: Final answer
    x = 143,836,541,531.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.