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Finding the Third Proportional to 34,828,737 and 81,330,967.50

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Solution

The third proportional to 34,828,737 and 81,330,967.50 is: 189,921,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,828,737 : 81,330,967.50 = 81,330,967.50 : x
  2. Step 2: Convert to fraction form
    34,828,737/81,330,967.50 = 81,330,967.50/x
  3. Step 3: Cross multiply
    34,828,737x = 81,330,967.50 × 81,330,967.50
  4. Step 4: Simplify right side
    34,828,737x = 6,614,726,274,486,056
  5. Step 5: Solve for x
    x = 6,614,726,274,486,056/34,828,737
  6. Step 6: Final answer
    x = 189,921,508.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.