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Finding the Third Proportional to 4,225,449 and 9,107,970

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Solution

The third proportional to 4,225,449 and 9,107,970 is: 19,632,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225,449 : 9,107,970 = 9,107,970 : x
  2. Step 2: Convert to fraction form
    4,225,449/9,107,970 = 9,107,970/x
  3. Step 3: Cross multiply
    4,225,449x = 9,107,970 × 9,107,970
  4. Step 4: Simplify right side
    4,225,449x = 82,955,117,520,900
  5. Step 5: Solve for x
    x = 82,955,117,520,900/4,225,449
  6. Step 6: Final answer
    x = 19,632,260.98

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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.