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Finding the Third Proportional to 7,666,024 and 16,887,553

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Solution

The third proportional to 7,666,024 and 16,887,553 is: 37,201,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,024 : 16,887,553 = 16,887,553 : x
  2. Step 2: Convert to fraction form
    7,666,024/16,887,553 = 16,887,553/x
  3. Step 3: Cross multiply
    7,666,024x = 16,887,553 × 16,887,553
  4. Step 4: Simplify right side
    7,666,024x = 285,189,446,327,809
  5. Step 5: Solve for x
    x = 285,189,446,327,809/7,666,024
  6. Step 6: Final answer
    x = 37,201,741.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.