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Finding the Third Proportional to 671,098,668.75 and 1,458,361,832.06

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Solution

The third proportional to 671,098,668.75 and 1,458,361,832.06 is: 3,169,160,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,098,668.75 : 1,458,361,832.06 = 1,458,361,832.06 : x
  2. Step 2: Convert to fraction form
    671,098,668.75/1,458,361,832.06 = 1,458,361,832.06/x
  3. Step 3: Cross multiply
    671,098,668.75x = 1,458,361,832.06 × 1,458,361,832.06
  4. Step 4: Simplify right side
    671,098,668.75x = 2,126,819,233,216,691,456
  5. Step 5: Solve for x
    x = 2,126,819,233,216,691,456/671,098,668.75
  6. Step 6: Final answer
    x = 3,169,160,262.50

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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.