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Finding the Third Proportional to 6,480,648 and 14,001,012

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Solution

The third proportional to 6,480,648 and 14,001,012 is: 30,248,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480,648 : 14,001,012 = 14,001,012 : x
  2. Step 2: Convert to fraction form
    6,480,648/14,001,012 = 14,001,012/x
  3. Step 3: Cross multiply
    6,480,648x = 14,001,012 × 14,001,012
  4. Step 4: Simplify right side
    6,480,648x = 196,028,337,024,144
  5. Step 5: Solve for x
    x = 196,028,337,024,144/6,480,648
  6. Step 6: Final answer
    x = 30,248,261.75

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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.