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Finding the Third Proportional to 9,024,464 and 19,487,529

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Solution

The third proportional to 9,024,464 and 19,487,529 is: 42,081,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024,464 : 19,487,529 = 19,487,529 : x
  2. Step 2: Convert to fraction form
    9,024,464/19,487,529 = 19,487,529/x
  3. Step 3: Cross multiply
    9,024,464x = 19,487,529 × 19,487,529
  4. Step 4: Simplify right side
    9,024,464x = 379,763,786,525,841
  5. Step 5: Solve for x
    x = 379,763,786,525,841/9,024,464
  6. Step 6: Final answer
    x = 42,081,589.17

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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.