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Finding the Third Proportional to 38,245,891 and 81,948,913

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Solution

The third proportional to 38,245,891 and 81,948,913 is: 175,590,741.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245,891 : 81,948,913 = 81,948,913 : x
  2. Step 2: Convert to fraction form
    38,245,891/81,948,913 = 81,948,913/x
  3. Step 3: Cross multiply
    38,245,891x = 81,948,913 × 81,948,913
  4. Step 4: Simplify right side
    38,245,891x = 6,715,624,341,881,569
  5. Step 5: Solve for x
    x = 6,715,624,341,881,569/38,245,891
  6. Step 6: Final answer
    x = 175,590,741.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.