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Finding the Third Proportional to 4,874,050.97 and 7,590,563.16

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Solution

The third proportional to 4,874,050.97 and 7,590,563.16 is: 11,821,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874,050.97 : 7,590,563.16 = 7,590,563.16 : x
  2. Step 2: Convert to fraction form
    4,874,050.97/7,590,563.16 = 7,590,563.16/x
  3. Step 3: Cross multiply
    4,874,050.97x = 7,590,563.16 × 7,590,563.16
  4. Step 4: Simplify right side
    4,874,050.97x = 57,616,649,029,019.96
  5. Step 5: Solve for x
    x = 57,616,649,029,019.96/4,874,050.97
  6. Step 6: Final answer
    x = 11,821,101.05

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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.