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Finding the Third Proportional to 337,181,269,866.75 and 728,103,386,477.25

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Solution

The third proportional to 337,181,269,866.75 and 728,103,386,477.25 is: 1,572,253,825,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,181,269,866.75 : 728,103,386,477.25 = 728,103,386,477.25 : x
  2. Step 2: Convert to fraction form
    337,181,269,866.75/728,103,386,477.25 = 728,103,386,477.25/x
  3. Step 3: Cross multiply
    337,181,269,866.75x = 728,103,386,477.25 × 728,103,386,477.25
  4. Step 4: Simplify right side
    337,181,269,866.75x = 530,134,541,399,639,709,450,240
  5. Step 5: Solve for x
    x = 530,134,541,399,639,709,450,240/337,181,269,866.75
  6. Step 6: Final answer
    x = 1,572,253,825,395.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.