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Finding the Third Proportional to 57,303,927 and 123,682,729

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Solution

The third proportional to 57,303,927 and 123,682,729 is: 266,952,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,303,927 : 123,682,729 = 123,682,729 : x
  2. Step 2: Convert to fraction form
    57,303,927/123,682,729 = 123,682,729/x
  3. Step 3: Cross multiply
    57,303,927x = 123,682,729 × 123,682,729
  4. Step 4: Simplify right side
    57,303,927x = 15,297,417,452,887,440
  5. Step 5: Solve for x
    x = 15,297,417,452,887,440/57,303,927
  6. Step 6: Final answer
    x = 266,952,340.86

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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.