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Finding the Third Proportional to 30,706,357.50 and 65,664,243

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Solution

The third proportional to 30,706,357.50 and 65,664,243 is: 140,420,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706,357.50 : 65,664,243 = 65,664,243 : x
  2. Step 2: Convert to fraction form
    30,706,357.50/65,664,243 = 65,664,243/x
  3. Step 3: Cross multiply
    30,706,357.50x = 65,664,243 × 65,664,243
  4. Step 4: Simplify right side
    30,706,357.50x = 4,311,792,808,763,049
  5. Step 5: Solve for x
    x = 4,311,792,808,763,049/30,706,357.50
  6. Step 6: Final answer
    x = 140,420,198.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.