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Finding the Third Proportional to 57,637,119 and 123,511,573.50

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Solution

The third proportional to 57,637,119 and 123,511,573.50 is: 264,675,074.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,637,119 : 123,511,573.50 = 123,511,573.50 : x
  2. Step 2: Convert to fraction form
    57,637,119/123,511,573.50 = 123,511,573.50/x
  3. Step 3: Cross multiply
    57,637,119x = 123,511,573.50 × 123,511,573.50
  4. Step 4: Simplify right side
    57,637,119x = 15,255,108,788,445,902
  5. Step 5: Solve for x
    x = 15,255,108,788,445,902/57,637,119
  6. Step 6: Final answer
    x = 264,675,074.90

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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.