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Finding the Third Proportional to 305,668,743 and 671,386,932

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Solution

The third proportional to 305,668,743 and 671,386,932 is: 1,474,669,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,668,743 : 671,386,932 = 671,386,932 : x
  2. Step 2: Convert to fraction form
    305,668,743/671,386,932 = 671,386,932/x
  3. Step 3: Cross multiply
    305,668,743x = 671,386,932 × 671,386,932
  4. Step 4: Simplify right side
    305,668,743x = 450,760,412,460,372,608
  5. Step 5: Solve for x
    x = 450,760,412,460,372,608/305,668,743
  6. Step 6: Final answer
    x = 1,474,669,631.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.