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Finding the Third Proportional to 2,393,195,715 and 3,676,241,659.50

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Solution

The third proportional to 2,393,195,715 and 3,676,241,659.50 is: 5,647,157,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393,195,715 : 3,676,241,659.50 = 3,676,241,659.50 : x
  2. Step 2: Convert to fraction form
    2,393,195,715/3,676,241,659.50 = 3,676,241,659.50/x
  3. Step 3: Cross multiply
    2,393,195,715x = 3,676,241,659.50 × 3,676,241,659.50
  4. Step 4: Simplify right side
    2,393,195,715x = 13,514,752,739,043,313,664
  5. Step 5: Solve for x
    x = 13,514,752,739,043,313,664/2,393,195,715
  6. Step 6: Final answer
    x = 5,647,157,336.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.