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Finding the Third Proportional to 2,373,114 and 4,914,451.50

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Solution

The third proportional to 2,373,114 and 4,914,451.50 is: 10,177,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373,114 : 4,914,451.50 = 4,914,451.50 : x
  2. Step 2: Convert to fraction form
    2,373,114/4,914,451.50 = 4,914,451.50/x
  3. Step 3: Cross multiply
    2,373,114x = 4,914,451.50 × 4,914,451.50
  4. Step 4: Simplify right side
    2,373,114x = 24,151,833,545,852.25
  5. Step 5: Solve for x
    x = 24,151,833,545,852.25/2,373,114
  6. Step 6: Final answer
    x = 10,177,274.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.