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Finding the Third Proportional to 38,280,575.25 and 84,001,304.25

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Solution

The third proportional to 38,280,575.25 and 84,001,304.25 is: 184,328,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,280,575.25 : 84,001,304.25 = 84,001,304.25 : x
  2. Step 2: Convert to fraction form
    38,280,575.25/84,001,304.25 = 84,001,304.25/x
  3. Step 3: Cross multiply
    38,280,575.25x = 84,001,304.25 × 84,001,304.25
  4. Step 4: Simplify right side
    38,280,575.25x = 7,056,219,115,701,068
  5. Step 5: Solve for x
    x = 7,056,219,115,701,068/38,280,575.25
  6. Step 6: Final answer
    x = 184,328,972.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.