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Finding the Third Proportional to 4,259,746 and 9,169,031

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Solution

The third proportional to 4,259,746 and 9,169,031 is: 19,736,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259,746 : 9,169,031 = 9,169,031 : x
  2. Step 2: Convert to fraction form
    4,259,746/9,169,031 = 9,169,031/x
  3. Step 3: Cross multiply
    4,259,746x = 9,169,031 × 9,169,031
  4. Step 4: Simplify right side
    4,259,746x = 84,071,129,478,961
  5. Step 5: Solve for x
    x = 84,071,129,478,961/4,259,746
  6. Step 6: Final answer
    x = 19,736,183.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.