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Finding the Third Proportional to 51,768,751.50 and 82,414,056.94

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Solution

The third proportional to 51,768,751.50 and 82,414,056.94 is: 131,200,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,768,751.50 : 82,414,056.94 = 82,414,056.94 : x
  2. Step 2: Convert to fraction form
    51,768,751.50/82,414,056.94 = 82,414,056.94/x
  3. Step 3: Cross multiply
    51,768,751.50x = 82,414,056.94 × 82,414,056.94
  4. Step 4: Simplify right side
    51,768,751.50x = 6,792,076,780,897,492
  5. Step 5: Solve for x
    x = 6,792,076,780,897,492/51,768,751.50
  6. Step 6: Final answer
    x = 131,200,320.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.