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Finding the Third Proportional to 31,874,458,896 and 47,636,010,996

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Solution

The third proportional to 31,874,458,896 and 47,636,010,996 is: 71,191,468,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874,458,896 : 47,636,010,996 = 47,636,010,996 : x
  2. Step 2: Convert to fraction form
    31,874,458,896/47,636,010,996 = 47,636,010,996/x
  3. Step 3: Cross multiply
    31,874,458,896x = 47,636,010,996 × 47,636,010,996
  4. Step 4: Simplify right side
    31,874,458,896x = 2,269,189,543,611,032,928,256
  5. Step 5: Solve for x
    x = 2,269,189,543,611,032,928,256/31,874,458,896
  6. Step 6: Final answer
    x = 71,191,468,724.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.