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Finding the Third Proportional to 1,316,460,096 and 2,741,882,819

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Solution

The third proportional to 1,316,460,096 and 2,741,882,819 is: 5,710,709,664.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,460,096 : 2,741,882,819 = 2,741,882,819 : x
  2. Step 2: Convert to fraction form
    1,316,460,096/2,741,882,819 = 2,741,882,819/x
  3. Step 3: Cross multiply
    1,316,460,096x = 2,741,882,819 × 2,741,882,819
  4. Step 4: Simplify right side
    1,316,460,096x = 7,517,921,393,127,387,136
  5. Step 5: Solve for x
    x = 7,517,921,393,127,387,136/1,316,460,096
  6. Step 6: Final answer
    x = 5,710,709,664.48

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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.