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Finding the Third Proportional to 10,381,989.75 and 22,361,445

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Solution

The third proportional to 10,381,989.75 and 22,361,445 is: 48,163,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381,989.75 : 22,361,445 = 22,361,445 : x
  2. Step 2: Convert to fraction form
    10,381,989.75/22,361,445 = 22,361,445/x
  3. Step 3: Cross multiply
    10,381,989.75x = 22,361,445 × 22,361,445
  4. Step 4: Simplify right side
    10,381,989.75x = 500,034,222,488,025
  5. Step 5: Solve for x
    x = 500,034,222,488,025/10,381,989.75
  6. Step 6: Final answer
    x = 48,163,621.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.