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Finding the Third Proportional to 5,607,540,972 and 11,965,622,433

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Solution

The third proportional to 5,607,540,972 and 11,965,622,433 is: 25,532,781,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607,540,972 : 11,965,622,433 = 11,965,622,433 : x
  2. Step 2: Convert to fraction form
    5,607,540,972/11,965,622,433 = 11,965,622,433/x
  3. Step 3: Cross multiply
    5,607,540,972x = 11,965,622,433 × 11,965,622,433
  4. Step 4: Simplify right side
    5,607,540,972x = 143,176,120,209,112,842,240
  5. Step 5: Solve for x
    x = 143,176,120,209,112,842,240/5,607,540,972
  6. Step 6: Final answer
    x = 25,532,781,824.34

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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.