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Finding the Third Proportional to 4,578,270.75 and 10,078,746.75

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Solution

The third proportional to 4,578,270.75 and 10,078,746.75 is: 22,187,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578,270.75 : 10,078,746.75 = 10,078,746.75 : x
  2. Step 2: Convert to fraction form
    4,578,270.75/10,078,746.75 = 10,078,746.75/x
  3. Step 3: Cross multiply
    4,578,270.75x = 10,078,746.75 × 10,078,746.75
  4. Step 4: Simplify right side
    4,578,270.75x = 101,581,136,050,635.56
  5. Step 5: Solve for x
    x = 101,581,136,050,635.56/4,578,270.75
  6. Step 6: Final answer
    x = 22,187,664.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.