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Finding the Third Proportional to 31,595,042,468 and 65,805,188,026

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Solution

The third proportional to 31,595,042,468 and 65,805,188,026 is: 137,057,032,777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595,042,468 : 65,805,188,026 = 65,805,188,026 : x
  2. Step 2: Convert to fraction form
    31,595,042,468/65,805,188,026 = 65,805,188,026/x
  3. Step 3: Cross multiply
    31,595,042,468x = 65,805,188,026 × 65,805,188,026
  4. Step 4: Simplify right side
    31,595,042,468x = 4,330,322,771,137,213,759,488
  5. Step 5: Solve for x
    x = 4,330,322,771,137,213,759,488/31,595,042,468
  6. Step 6: Final answer
    x = 137,057,032,777.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.