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Finding the Third Proportional to 67,588,647.75 and 138,760,373.53

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Solution

The third proportional to 67,588,647.75 and 138,760,373.53 is: 284,876,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,588,647.75 : 138,760,373.53 = 138,760,373.53 : x
  2. Step 2: Convert to fraction form
    67,588,647.75/138,760,373.53 = 138,760,373.53/x
  3. Step 3: Cross multiply
    67,588,647.75x = 138,760,373.53 × 138,760,373.53
  4. Step 4: Simplify right side
    67,588,647.75x = 19,254,441,262,532,024
  5. Step 5: Solve for x
    x = 19,254,441,262,532,024/67,588,647.75
  6. Step 6: Final answer
    x = 284,876,852.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.