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Finding the Third Proportional to 5,091,849 and 10,980,859.50

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Solution

The third proportional to 5,091,849 and 10,980,859.50 is: 23,680,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091,849 : 10,980,859.50 = 10,980,859.50 : x
  2. Step 2: Convert to fraction form
    5,091,849/10,980,859.50 = 10,980,859.50/x
  3. Step 3: Cross multiply
    5,091,849x = 10,980,859.50 × 10,980,859.50
  4. Step 4: Simplify right side
    5,091,849x = 120,579,275,358,740.25
  5. Step 5: Solve for x
    x = 120,579,275,358,740.25/5,091,849
  6. Step 6: Final answer
    x = 23,680,842.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.