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Finding the Third Proportional to 8,227,652,844 and 12,533,979,006

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Solution

The third proportional to 8,227,652,844 and 12,533,979,006 is: 19,094,221,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227,652,844 : 12,533,979,006 = 12,533,979,006 : x
  2. Step 2: Convert to fraction form
    8,227,652,844/12,533,979,006 = 12,533,979,006/x
  3. Step 3: Cross multiply
    8,227,652,844x = 12,533,979,006 × 12,533,979,006
  4. Step 4: Simplify right side
    8,227,652,844x = 157,100,629,722,848,755,712
  5. Step 5: Solve for x
    x = 157,100,629,722,848,755,712/8,227,652,844
  6. Step 6: Final answer
    x = 19,094,221,973.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.