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Finding the Third Proportional to 10,250,388 and 14,418,462

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Solution

The third proportional to 10,250,388 and 14,418,462 is: 20,281,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250,388 : 14,418,462 = 14,418,462 : x
  2. Step 2: Convert to fraction form
    10,250,388/14,418,462 = 14,418,462/x
  3. Step 3: Cross multiply
    10,250,388x = 14,418,462 × 14,418,462
  4. Step 4: Simplify right side
    10,250,388x = 207,892,046,445,444
  5. Step 5: Solve for x
    x = 207,892,046,445,444/10,250,388
  6. Step 6: Final answer
    x = 20,281,383.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.