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Finding the Third Proportional to 57,637,164 and 123,511,656

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Solution

The third proportional to 57,637,164 and 123,511,656 is: 264,675,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,637,164 : 123,511,656 = 123,511,656 : x
  2. Step 2: Convert to fraction form
    57,637,164/123,511,656 = 123,511,656/x
  3. Step 3: Cross multiply
    57,637,164x = 123,511,656 × 123,511,656
  4. Step 4: Simplify right side
    57,637,164x = 15,255,129,167,862,336
  5. Step 5: Solve for x
    x = 15,255,129,167,862,336/57,637,164
  6. Step 6: Final answer
    x = 264,675,221.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.