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Finding the Third Proportional to 34,513,026.75 and 75,204,085.50

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Solution

The third proportional to 34,513,026.75 and 75,204,085.50 is: 163,870,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,513,026.75 : 75,204,085.50 = 75,204,085.50 : x
  2. Step 2: Convert to fraction form
    34,513,026.75/75,204,085.50 = 75,204,085.50/x
  3. Step 3: Cross multiply
    34,513,026.75x = 75,204,085.50 × 75,204,085.50
  4. Step 4: Simplify right side
    34,513,026.75x = 5,655,654,475,891,310
  5. Step 5: Solve for x
    x = 5,655,654,475,891,310/34,513,026.75
  6. Step 6: Final answer
    x = 163,870,138.57

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.