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Finding the Third Proportional to 52,894,735 and 81,735,851

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Solution

The third proportional to 52,894,735 and 81,735,851 is: 126,302,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,894,735 : 81,735,851 = 81,735,851 : x
  2. Step 2: Convert to fraction form
    52,894,735/81,735,851 = 81,735,851/x
  3. Step 3: Cross multiply
    52,894,735x = 81,735,851 × 81,735,851
  4. Step 4: Simplify right side
    52,894,735x = 6,680,749,338,694,201
  5. Step 5: Solve for x
    x = 6,680,749,338,694,201/52,894,735
  6. Step 6: Final answer
    x = 126,302,728.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.