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Finding the Third Proportional to 5,607,540,961.50 and 11,965,622,415

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Solution

The third proportional to 5,607,540,961.50 and 11,965,622,415 is: 25,532,781,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607,540,961.50 : 11,965,622,415 = 11,965,622,415 : x
  2. Step 2: Convert to fraction form
    5,607,540,961.50/11,965,622,415 = 11,965,622,415/x
  3. Step 3: Cross multiply
    5,607,540,961.50x = 11,965,622,415 × 11,965,622,415
  4. Step 4: Simplify right side
    5,607,540,961.50x = 143,176,119,778,350,432,256
  5. Step 5: Solve for x
    x = 143,176,119,778,350,432,256/5,607,540,961.50
  6. Step 6: Final answer
    x = 25,532,781,795.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.