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Finding the Third Proportional to 393,550,725.09 and 861,237,780.19

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Solution

The third proportional to 393,550,725.09 and 861,237,780.19 is: 1,884,713,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,550,725.09 : 861,237,780.19 = 861,237,780.19 : x
  2. Step 2: Convert to fraction form
    393,550,725.09/861,237,780.19 = 861,237,780.19/x
  3. Step 3: Cross multiply
    393,550,725.09x = 861,237,780.19 × 861,237,780.19
  4. Step 4: Simplify right side
    393,550,725.09x = 741,730,514,022,292,608
  5. Step 5: Solve for x
    x = 741,730,514,022,292,608/393,550,725.09
  6. Step 6: Final answer
    x = 1,884,713,879.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.