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Finding the Third Proportional to 6,471,532 and 14,043,128

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Solution

The third proportional to 6,471,532 and 14,043,128 is: 30,473,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,532 : 14,043,128 = 14,043,128 : x
  2. Step 2: Convert to fraction form
    6,471,532/14,043,128 = 14,043,128/x
  3. Step 3: Cross multiply
    6,471,532x = 14,043,128 × 14,043,128
  4. Step 4: Simplify right side
    6,471,532x = 197,209,444,024,384
  5. Step 5: Solve for x
    x = 197,209,444,024,384/6,471,532
  6. Step 6: Final answer
    x = 30,473,378.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.