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Finding the Third Proportional to 713,324,616 and 1,446,706,296

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Solution

The third proportional to 713,324,616 and 1,446,706,296 is: 2,934,090,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,324,616 : 1,446,706,296 = 1,446,706,296 : x
  2. Step 2: Convert to fraction form
    713,324,616/1,446,706,296 = 1,446,706,296/x
  3. Step 3: Cross multiply
    713,324,616x = 1,446,706,296 × 1,446,706,296
  4. Step 4: Simplify right side
    713,324,616x = 2,092,959,106,886,039,552
  5. Step 5: Solve for x
    x = 2,092,959,106,886,039,552/713,324,616
  6. Step 6: Final answer
    x = 2,934,090,678.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.