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Finding the Third Proportional to 909,753,434 and 1,964,764,516

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Solution

The third proportional to 909,753,434 and 1,964,764,516 is: 4,243,237,188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,753,434 : 1,964,764,516 = 1,964,764,516 : x
  2. Step 2: Convert to fraction form
    909,753,434/1,964,764,516 = 1,964,764,516/x
  3. Step 3: Cross multiply
    909,753,434x = 1,964,764,516 × 1,964,764,516
  4. Step 4: Simplify right side
    909,753,434x = 3,860,299,603,332,714,496
  5. Step 5: Solve for x
    x = 3,860,299,603,332,714,496/909,753,434
  6. Step 6: Final answer
    x = 4,243,237,188.30

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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.