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Finding the Third Proportional to 320,119,758 and 741,031,101

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Solution

The third proportional to 320,119,758 and 741,031,101 is: 1,715,380,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,119,758 : 741,031,101 = 741,031,101 : x
  2. Step 2: Convert to fraction form
    320,119,758/741,031,101 = 741,031,101/x
  3. Step 3: Cross multiply
    320,119,758x = 741,031,101 × 741,031,101
  4. Step 4: Simplify right side
    320,119,758x = 549,127,092,649,272,192
  5. Step 5: Solve for x
    x = 549,127,092,649,272,192/320,119,758
  6. Step 6: Final answer
    x = 1,715,380,194.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.