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Finding the Third Proportional to 3,108,416,193 and 6,761,459,767.50

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Solution

The third proportional to 3,108,416,193 and 6,761,459,767.50 is: 14,707,598,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108,416,193 : 6,761,459,767.50 = 6,761,459,767.50 : x
  2. Step 2: Convert to fraction form
    3,108,416,193/6,761,459,767.50 = 6,761,459,767.50/x
  3. Step 3: Cross multiply
    3,108,416,193x = 6,761,459,767.50 × 6,761,459,767.50
  4. Step 4: Simplify right side
    3,108,416,193x = 45,717,338,187,521,155,072
  5. Step 5: Solve for x
    x = 45,717,338,187,521,155,072/3,108,416,193
  6. Step 6: Final answer
    x = 14,707,598,773.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.