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Finding the Third Proportional to 34,866,510 and 81,023,235

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Solution

The third proportional to 34,866,510 and 81,023,235 is: 188,282,813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,866,510 : 81,023,235 = 81,023,235 : x
  2. Step 2: Convert to fraction form
    34,866,510/81,023,235 = 81,023,235/x
  3. Step 3: Cross multiply
    34,866,510x = 81,023,235 × 81,023,235
  4. Step 4: Simplify right side
    34,866,510x = 6,564,764,609,865,225
  5. Step 5: Solve for x
    x = 6,564,764,609,865,225/34,866,510
  6. Step 6: Final answer
    x = 188,282,813.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.