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Finding the Third Proportional to 2,309,538,248 and 3,336,884,652

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Solution

The third proportional to 2,309,538,248 and 3,336,884,652 is: 4,821,223,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309,538,248 : 3,336,884,652 = 3,336,884,652 : x
  2. Step 2: Convert to fraction form
    2,309,538,248/3,336,884,652 = 3,336,884,652/x
  3. Step 3: Cross multiply
    2,309,538,248x = 3,336,884,652 × 3,336,884,652
  4. Step 4: Simplify right side
    2,309,538,248x = 11,134,799,180,753,160,192
  5. Step 5: Solve for x
    x = 11,134,799,180,753,160,192/2,309,538,248
  6. Step 6: Final answer
    x = 4,821,223,112.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.