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Finding the Third Proportional to 909,753,432 and 1,964,764,512

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Solution

The third proportional to 909,753,432 and 1,964,764,512 is: 4,243,237,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,753,432 : 1,964,764,512 = 1,964,764,512 : x
  2. Step 2: Convert to fraction form
    909,753,432/1,964,764,512 = 1,964,764,512/x
  3. Step 3: Cross multiply
    909,753,432x = 1,964,764,512 × 1,964,764,512
  4. Step 4: Simplify right side
    909,753,432x = 3,860,299,587,614,598,144
  5. Step 5: Solve for x
    x = 3,860,299,587,614,598,144/909,753,432
  6. Step 6: Final answer
    x = 4,243,237,180.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.