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Finding the Third Proportional to 6,377,109,128 and 8,976,461,650

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Solution

The third proportional to 6,377,109,128 and 8,976,461,650 is: 12,635,327,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377,109,128 : 8,976,461,650 = 8,976,461,650 : x
  2. Step 2: Convert to fraction form
    6,377,109,128/8,976,461,650 = 8,976,461,650/x
  3. Step 3: Cross multiply
    6,377,109,128x = 8,976,461,650 × 8,976,461,650
  4. Step 4: Simplify right side
    6,377,109,128x = 80,576,863,753,920,724,992
  5. Step 5: Solve for x
    x = 80,576,863,753,920,724,992/6,377,109,128
  6. Step 6: Final answer
    x = 12,635,327,722.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.