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Finding the Third Proportional to 57,527,868.13 and 123,593,782.25

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Solution

The third proportional to 57,527,868.13 and 123,593,782.25 is: 265,530,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,527,868.13 : 123,593,782.25 = 123,593,782.25 : x
  2. Step 2: Convert to fraction form
    57,527,868.13/123,593,782.25 = 123,593,782.25/x
  3. Step 3: Cross multiply
    57,527,868.13x = 123,593,782.25 × 123,593,782.25
  4. Step 4: Simplify right side
    57,527,868.13x = 15,275,423,010,860,416
  5. Step 5: Solve for x
    x = 15,275,423,010,860,416/57,527,868.13
  6. Step 6: Final answer
    x = 265,530,837.64

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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.