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Finding the Third Proportional to 127,168,735 and 273,823,309

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Solution

The third proportional to 127,168,735 and 273,823,309 is: 589,604,076.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,168,735 : 273,823,309 = 273,823,309 : x
  2. Step 2: Convert to fraction form
    127,168,735/273,823,309 = 273,823,309/x
  3. Step 3: Cross multiply
    127,168,735x = 273,823,309 × 273,823,309
  4. Step 4: Simplify right side
    127,168,735x = 74,979,204,551,709,488
  5. Step 5: Solve for x
    x = 74,979,204,551,709,488/127,168,735
  6. Step 6: Final answer
    x = 589,604,076.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.