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Finding the Third Proportional to 30,706,360.50 and 65,664,249

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Solution

The third proportional to 30,706,360.50 and 65,664,249 is: 140,420,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706,360.50 : 65,664,249 = 65,664,249 : x
  2. Step 2: Convert to fraction form
    30,706,360.50/65,664,249 = 65,664,249/x
  3. Step 3: Cross multiply
    30,706,360.50x = 65,664,249 × 65,664,249
  4. Step 4: Simplify right side
    30,706,360.50x = 4,311,793,596,734,001
  5. Step 5: Solve for x
    x = 4,311,793,596,734,001/30,706,360.50
  6. Step 6: Final answer
    x = 140,420,210.23

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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.