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Finding the Third Proportional to 51,046,474.50 and 78,461,736.75

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Solution

The third proportional to 51,046,474.50 and 78,461,736.75 is: 120,600,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,046,474.50 : 78,461,736.75 = 78,461,736.75 : x
  2. Step 2: Convert to fraction form
    51,046,474.50/78,461,736.75 = 78,461,736.75/x
  3. Step 3: Cross multiply
    51,046,474.50x = 78,461,736.75 × 78,461,736.75
  4. Step 4: Simplify right side
    51,046,474.50x = 6,156,244,133,826,301
  5. Step 5: Solve for x
    x = 6,156,244,133,826,301/51,046,474.50
  6. Step 6: Final answer
    x = 120,600,770.07

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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.