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Finding the Third Proportional to 4,712,865 and 7,372,563.75

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Solution

The third proportional to 4,712,865 and 7,372,563.75 is: 11,533,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,865 : 7,372,563.75 = 7,372,563.75 : x
  2. Step 2: Convert to fraction form
    4,712,865/7,372,563.75 = 7,372,563.75/x
  3. Step 3: Cross multiply
    4,712,865x = 7,372,563.75 × 7,372,563.75
  4. Step 4: Simplify right side
    4,712,865x = 54,354,696,247,814.06
  5. Step 5: Solve for x
    x = 54,354,696,247,814.06/4,712,865
  6. Step 6: Final answer
    x = 11,533,259.76

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.