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Finding the Third Proportional to 316,573,494.75 and 687,643,322.63

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Solution

The third proportional to 316,573,494.75 and 687,643,322.63 is: 1,493,660,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,573,494.75 : 687,643,322.63 = 687,643,322.63 : x
  2. Step 2: Convert to fraction form
    316,573,494.75/687,643,322.63 = 687,643,322.63/x
  3. Step 3: Cross multiply
    316,573,494.75x = 687,643,322.63 × 687,643,322.63
  4. Step 4: Simplify right side
    316,573,494.75x = 472,853,339,150,749,824
  5. Step 5: Solve for x
    x = 472,853,339,150,749,824/316,573,494.75
  6. Step 6: Final answer
    x = 1,493,660,546.42

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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.