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Finding the Third Proportional to 57,033,966 and 123,158,778

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Solution

The third proportional to 57,033,966 and 123,158,778 is: 265,948,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033,966 : 123,158,778 = 123,158,778 : x
  2. Step 2: Convert to fraction form
    57,033,966/123,158,778 = 123,158,778/x
  3. Step 3: Cross multiply
    57,033,966x = 123,158,778 × 123,158,778
  4. Step 4: Simplify right side
    57,033,966x = 15,168,084,598,453,284
  5. Step 5: Solve for x
    x = 15,168,084,598,453,284/57,033,966
  6. Step 6: Final answer
    x = 265,948,270.17

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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.