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Finding the Third Proportional to 7,898,760,684 and 16,451,297,136

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Solution

The third proportional to 7,898,760,684 and 16,451,297,136 is: 34,264,258,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898,760,684 : 16,451,297,136 = 16,451,297,136 : x
  2. Step 2: Convert to fraction form
    7,898,760,684/16,451,297,136 = 16,451,297,136/x
  3. Step 3: Cross multiply
    7,898,760,684x = 16,451,297,136 × 16,451,297,136
  4. Step 4: Simplify right side
    7,898,760,684x = 270,645,177,456,961,814,528
  5. Step 5: Solve for x
    x = 270,645,177,456,961,814,528/7,898,760,684
  6. Step 6: Final answer
    x = 34,264,258,443.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.