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Finding the Third Proportional to 38,083,675 and 58,017,844.50

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Solution

The third proportional to 38,083,675 and 58,017,844.50 is: 88,386,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,083,675 : 58,017,844.50 = 58,017,844.50 : x
  2. Step 2: Convert to fraction form
    38,083,675/58,017,844.50 = 58,017,844.50/x
  3. Step 3: Cross multiply
    38,083,675x = 58,017,844.50 × 58,017,844.50
  4. Step 4: Simplify right side
    38,083,675x = 3,366,070,280,426,180
  5. Step 5: Solve for x
    x = 3,366,070,280,426,180/38,083,675
  6. Step 6: Final answer
    x = 88,386,172.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.