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Finding the Third Proportional to 57,033,848 and 123,158,560

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Solution

The third proportional to 57,033,848 and 123,158,560 is: 265,947,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033,848 : 123,158,560 = 123,158,560 : x
  2. Step 2: Convert to fraction form
    57,033,848/123,158,560 = 123,158,560/x
  3. Step 3: Cross multiply
    57,033,848x = 123,158,560 × 123,158,560
  4. Step 4: Simplify right side
    57,033,848x = 15,168,030,901,273,600
  5. Step 5: Solve for x
    x = 15,168,030,901,273,600/57,033,848
  6. Step 6: Final answer
    x = 265,947,878.90

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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.