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Finding the Third Proportional to 38,333,592 and 83,135,034

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Solution

The third proportional to 38,333,592 and 83,135,034 is: 180,297,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,333,592 : 83,135,034 = 83,135,034 : x
  2. Step 2: Convert to fraction form
    38,333,592/83,135,034 = 83,135,034/x
  3. Step 3: Cross multiply
    38,333,592x = 83,135,034 × 83,135,034
  4. Step 4: Simplify right side
    38,333,592x = 6,911,433,878,181,156
  5. Step 5: Solve for x
    x = 6,911,433,878,181,156/38,333,592
  6. Step 6: Final answer
    x = 180,297,058.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.