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Finding the Third Proportional to 7,925,238,625.50 and 16,984,951,209

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Solution

The third proportional to 7,925,238,625.50 and 16,984,951,209 is: 36,401,246,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925,238,625.50 : 16,984,951,209 = 16,984,951,209 : x
  2. Step 2: Convert to fraction form
    7,925,238,625.50/16,984,951,209 = 16,984,951,209/x
  3. Step 3: Cross multiply
    7,925,238,625.50x = 16,984,951,209 × 16,984,951,209
  4. Step 4: Simplify right side
    7,925,238,625.50x = 288,488,567,572,110,573,568
  5. Step 5: Solve for x
    x = 288,488,567,572,110,573,568/7,925,238,625.50
  6. Step 6: Final answer
    x = 36,401,246,852.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.