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Finding the Third Proportional to 9,081,653 and 14,024,031

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Solution

The third proportional to 9,081,653 and 14,024,031 is: 21,656,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081,653 : 14,024,031 = 14,024,031 : x
  2. Step 2: Convert to fraction form
    9,081,653/14,024,031 = 14,024,031/x
  3. Step 3: Cross multiply
    9,081,653x = 14,024,031 × 14,024,031
  4. Step 4: Simplify right side
    9,081,653x = 196,673,445,488,961
  5. Step 5: Solve for x
    x = 196,673,445,488,961/9,081,653
  6. Step 6: Final answer
    x = 21,656,128.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.