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Finding the Third Proportional to 38,024,520 and 79,182,480

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Solution

The third proportional to 38,024,520 and 79,182,480 is: 164,890,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024,520 : 79,182,480 = 79,182,480 : x
  2. Step 2: Convert to fraction form
    38,024,520/79,182,480 = 79,182,480/x
  3. Step 3: Cross multiply
    38,024,520x = 79,182,480 × 79,182,480
  4. Step 4: Simplify right side
    38,024,520x = 6,269,865,138,950,400
  5. Step 5: Solve for x
    x = 6,269,865,138,950,400/38,024,520
  6. Step 6: Final answer
    x = 164,890,053.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.