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Finding the Third Proportional to 247,928,566 and 540,498,224

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Solution

The third proportional to 247,928,566 and 540,498,224 is: 1,178,316,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,928,566 : 540,498,224 = 540,498,224 : x
  2. Step 2: Convert to fraction form
    247,928,566/540,498,224 = 540,498,224/x
  3. Step 3: Cross multiply
    247,928,566x = 540,498,224 × 540,498,224
  4. Step 4: Simplify right side
    247,928,566x = 292,138,330,147,154,176
  5. Step 5: Solve for x
    x = 292,138,330,147,154,176/247,928,566
  6. Step 6: Final answer
    x = 1,178,316,540.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.