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Finding the Third Proportional to 57,033,801 and 123,158,475

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Solution

The third proportional to 57,033,801 and 123,158,475 is: 265,947,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033,801 : 123,158,475 = 123,158,475 : x
  2. Step 2: Convert to fraction form
    57,033,801/123,158,475 = 123,158,475/x
  3. Step 3: Cross multiply
    57,033,801x = 123,158,475 × 123,158,475
  4. Step 4: Simplify right side
    57,033,801x = 15,168,009,964,325,624
  5. Step 5: Solve for x
    x = 15,168,009,964,325,624/57,033,801
  6. Step 6: Final answer
    x = 265,947,730.97

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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.