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Finding the Third Proportional to 6,275,496 and 13,701,848

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Solution

The third proportional to 6,275,496 and 13,701,848 is: 29,916,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275,496 : 13,701,848 = 13,701,848 : x
  2. Step 2: Convert to fraction form
    6,275,496/13,701,848 = 13,701,848/x
  3. Step 3: Cross multiply
    6,275,496x = 13,701,848 × 13,701,848
  4. Step 4: Simplify right side
    6,275,496x = 187,740,638,615,104
  5. Step 5: Solve for x
    x = 187,740,638,615,104/6,275,496
  6. Step 6: Final answer
    x = 29,916,462.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.