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Finding the Third Proportional to 38,333,590 and 83,135,029

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Solution

The third proportional to 38,333,590 and 83,135,029 is: 180,297,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,333,590 : 83,135,029 = 83,135,029 : x
  2. Step 2: Convert to fraction form
    38,333,590/83,135,029 = 83,135,029/x
  3. Step 3: Cross multiply
    38,333,590x = 83,135,029 × 83,135,029
  4. Step 4: Simplify right side
    38,333,590x = 6,911,433,046,830,841
  5. Step 5: Solve for x
    x = 6,911,433,046,830,841/38,333,590
  6. Step 6: Final answer
    x = 180,297,046.19

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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.