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Finding the Third Proportional to 1,489,521,174.05 and 3,160,608,335.37

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Solution

The third proportional to 1,489,521,174.05 and 3,160,608,335.37 is: 6,706,480,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489,521,174.05 : 3,160,608,335.37 = 3,160,608,335.37 : x
  2. Step 2: Convert to fraction form
    1,489,521,174.05/3,160,608,335.37 = 3,160,608,335.37/x
  3. Step 3: Cross multiply
    1,489,521,174.05x = 3,160,608,335.37 × 3,160,608,335.37
  4. Step 4: Simplify right side
    1,489,521,174.05x = 9,989,445,049,593,255,936
  5. Step 5: Solve for x
    x = 9,989,445,049,593,255,936/1,489,521,174.05
  6. Step 6: Final answer
    x = 6,706,480,729.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.