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Finding the Third Proportional to 4,834,999.50 and 7,314,785.75

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Solution

The third proportional to 4,834,999.50 and 7,314,785.75 is: 11,066,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834,999.50 : 7,314,785.75 = 7,314,785.75 : x
  2. Step 2: Convert to fraction form
    4,834,999.50/7,314,785.75 = 7,314,785.75/x
  3. Step 3: Cross multiply
    4,834,999.50x = 7,314,785.75 × 7,314,785.75
  4. Step 4: Simplify right side
    4,834,999.50x = 53,506,090,568,403.06
  5. Step 5: Solve for x
    x = 53,506,090,568,403.06/4,834,999.50
  6. Step 6: Final answer
    x = 11,066,410.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.