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Finding the Third Proportional to 31,001,071 and 66,740,824

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Solution

The third proportional to 31,001,071 and 66,740,824 is: 143,683,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001,071 : 66,740,824 = 66,740,824 : x
  2. Step 2: Convert to fraction form
    31,001,071/66,740,824 = 66,740,824/x
  3. Step 3: Cross multiply
    31,001,071x = 66,740,824 × 66,740,824
  4. Step 4: Simplify right side
    31,001,071x = 4,454,337,588,198,976
  5. Step 5: Solve for x
    x = 4,454,337,588,198,976/31,001,071
  6. Step 6: Final answer
    x = 143,683,345.27

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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.