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Finding the Third Proportional to 54,078,967.50 and 82,480,548

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Solution

The third proportional to 54,078,967.50 and 82,480,548 is: 125,798,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,078,967.50 : 82,480,548 = 82,480,548 : x
  2. Step 2: Convert to fraction form
    54,078,967.50/82,480,548 = 82,480,548/x
  3. Step 3: Cross multiply
    54,078,967.50x = 82,480,548 × 82,480,548
  4. Step 4: Simplify right side
    54,078,967.50x = 6,803,040,798,380,304
  5. Step 5: Solve for x
    x = 6,803,040,798,380,304/54,078,967.50
  6. Step 6: Final answer
    x = 125,798,274.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.