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Finding the Third Proportional to 5,348,709 and 8,476,317

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Solution

The third proportional to 5,348,709 and 8,476,317 is: 13,432,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348,709 : 8,476,317 = 8,476,317 : x
  2. Step 2: Convert to fraction form
    5,348,709/8,476,317 = 8,476,317/x
  3. Step 3: Cross multiply
    5,348,709x = 8,476,317 × 8,476,317
  4. Step 4: Simplify right side
    5,348,709x = 71,847,949,884,489
  5. Step 5: Solve for x
    x = 71,847,949,884,489/5,348,709
  6. Step 6: Final answer
    x = 13,432,764.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.