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Finding the Third Proportional to 10,440,732 and 22,938,000

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Solution

The third proportional to 10,440,732 and 22,938,000 is: 50,394,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440,732 : 22,938,000 = 22,938,000 : x
  2. Step 2: Convert to fraction form
    10,440,732/22,938,000 = 22,938,000/x
  3. Step 3: Cross multiply
    10,440,732x = 22,938,000 × 22,938,000
  4. Step 4: Simplify right side
    10,440,732x = 526,151,844,000,000
  5. Step 5: Solve for x
    x = 526,151,844,000,000/10,440,732
  6. Step 6: Final answer
    x = 50,394,152.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.