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Finding the Third Proportional to 34,917,743.25 and 82,310,833.13

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Solution

The third proportional to 34,917,743.25 and 82,310,833.13 is: 194,029,528.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,917,743.25 : 82,310,833.13 = 82,310,833.13 : x
  2. Step 2: Convert to fraction form
    34,917,743.25/82,310,833.13 = 82,310,833.13/x
  3. Step 3: Cross multiply
    34,917,743.25x = 82,310,833.13 × 82,310,833.13
  4. Step 4: Simplify right side
    34,917,743.25x = 6,775,073,249,731,597
  5. Step 5: Solve for x
    x = 6,775,073,249,731,597/34,917,743.25
  6. Step 6: Final answer
    x = 194,029,528.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.