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Finding the Third Proportional to 51,022,960.50 and 78,531,495

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Solution

The third proportional to 51,022,960.50 and 78,531,495 is: 120,870,989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,022,960.50 : 78,531,495 = 78,531,495 : x
  2. Step 2: Convert to fraction form
    51,022,960.50/78,531,495 = 78,531,495/x
  3. Step 3: Cross multiply
    51,022,960.50x = 78,531,495 × 78,531,495
  4. Step 4: Simplify right side
    51,022,960.50x = 6,167,195,706,935,025
  5. Step 5: Solve for x
    x = 6,167,195,706,935,025/51,022,960.50
  6. Step 6: Final answer
    x = 120,870,989.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.