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Finding the Third Proportional to 38,315,464 and 83,653,920

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Solution

The third proportional to 38,315,464 and 83,653,920 is: 182,641,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,315,464 : 83,653,920 = 83,653,920 : x
  2. Step 2: Convert to fraction form
    38,315,464/83,653,920 = 83,653,920/x
  3. Step 3: Cross multiply
    38,315,464x = 83,653,920 × 83,653,920
  4. Step 4: Simplify right side
    38,315,464x = 6,997,978,331,366,400
  5. Step 5: Solve for x
    x = 6,997,978,331,366,400/38,315,464
  6. Step 6: Final answer
    x = 182,641,095.81

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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.