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Finding the Third Proportional to 3,512,502,793.50 and 7,637,202,291

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Solution

The third proportional to 3,512,502,793.50 and 7,637,202,291 is: 16,605,498,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512,502,793.50 : 7,637,202,291 = 7,637,202,291 : x
  2. Step 2: Convert to fraction form
    3,512,502,793.50/7,637,202,291 = 7,637,202,291/x
  3. Step 3: Cross multiply
    3,512,502,793.50x = 7,637,202,291 × 7,637,202,291
  4. Step 4: Simplify right side
    3,512,502,793.50x = 58,326,858,833,655,652,352
  5. Step 5: Solve for x
    x = 58,326,858,833,655,652,352/3,512,502,793.50
  6. Step 6: Final answer
    x = 16,605,498,205.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.