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Finding the Third Proportional to 3,885,906,112 and 5,683,127,724

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Solution

The third proportional to 3,885,906,112 and 5,683,127,724 is: 8,311,559,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885,906,112 : 5,683,127,724 = 5,683,127,724 : x
  2. Step 2: Convert to fraction form
    3,885,906,112/5,683,127,724 = 5,683,127,724/x
  3. Step 3: Cross multiply
    3,885,906,112x = 5,683,127,724 × 5,683,127,724
  4. Step 4: Simplify right side
    3,885,906,112x = 32,297,940,727,297,421,312
  5. Step 5: Solve for x
    x = 32,297,940,727,297,421,312/3,885,906,112
  6. Step 6: Final answer
    x = 8,311,559,722.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.