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Finding the Third Proportional to 35,172,948 and 76,361,848

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Solution

The third proportional to 35,172,948 and 76,361,848 is: 165,784,563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,172,948 : 76,361,848 = 76,361,848 : x
  2. Step 2: Convert to fraction form
    35,172,948/76,361,848 = 76,361,848/x
  3. Step 3: Cross multiply
    35,172,948x = 76,361,848 × 76,361,848
  4. Step 4: Simplify right side
    35,172,948x = 5,831,131,829,975,104
  5. Step 5: Solve for x
    x = 5,831,131,829,975,104/35,172,948
  6. Step 6: Final answer
    x = 165,784,563.47

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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.