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Finding the Third Proportional to 671,098,837.50 and 1,458,362,214

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Solution

The third proportional to 671,098,837.50 and 1,458,362,214 is: 3,169,161,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,098,837.50 : 1,458,362,214 = 1,458,362,214 : x
  2. Step 2: Convert to fraction form
    671,098,837.50/1,458,362,214 = 1,458,362,214/x
  3. Step 3: Cross multiply
    671,098,837.50x = 1,458,362,214 × 1,458,362,214
  4. Step 4: Simplify right side
    671,098,837.50x = 2,126,820,347,222,981,888
  5. Step 5: Solve for x
    x = 2,126,820,347,222,981,888/671,098,837.50
  6. Step 6: Final answer
    x = 3,169,161,125.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.