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Finding the Third Proportional to 7,857,866,234 and 11,783,913,105

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Solution

The third proportional to 7,857,866,234 and 11,783,913,105 is: 17,671,541,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857,866,234 : 11,783,913,105 = 11,783,913,105 : x
  2. Step 2: Convert to fraction form
    7,857,866,234/11,783,913,105 = 11,783,913,105/x
  3. Step 3: Cross multiply
    7,857,866,234x = 11,783,913,105 × 11,783,913,105
  4. Step 4: Simplify right side
    7,857,866,234x = 138,860,608,066,190,737,408
  5. Step 5: Solve for x
    x = 138,860,608,066,190,737,408/7,857,866,234
  6. Step 6: Final answer
    x = 17,671,541,348.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.