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Finding the Third Proportional to 57,033,964 and 123,158,774

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Solution

The third proportional to 57,033,964 and 123,158,774 is: 265,948,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,033,964 : 123,158,774 = 123,158,774 : x
  2. Step 2: Convert to fraction form
    57,033,964/123,158,774 = 123,158,774/x
  3. Step 3: Cross multiply
    57,033,964x = 123,158,774 × 123,158,774
  4. Step 4: Simplify right side
    57,033,964x = 15,168,083,613,183,076
  5. Step 5: Solve for x
    x = 15,168,083,613,183,076/57,033,964
  6. Step 6: Final answer
    x = 265,948,262.22

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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.