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Finding the Third Proportional to 5,078,304 and 10,984,911.75

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Solution

The third proportional to 5,078,304 and 10,984,911.75 is: 23,761,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078,304 : 10,984,911.75 = 10,984,911.75 : x
  2. Step 2: Convert to fraction form
    5,078,304/10,984,911.75 = 10,984,911.75/x
  3. Step 3: Cross multiply
    5,078,304x = 10,984,911.75 × 10,984,911.75
  4. Step 4: Simplify right side
    5,078,304x = 120,668,286,155,288.06
  5. Step 5: Solve for x
    x = 120,668,286,155,288.06/5,078,304
  6. Step 6: Final answer
    x = 23,761,532.62

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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.