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Finding the Third Proportional to 11,513,586 and 24,820,695

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Solution

The third proportional to 11,513,586 and 24,820,695 is: 53,507,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513,586 : 24,820,695 = 24,820,695 : x
  2. Step 2: Convert to fraction form
    11,513,586/24,820,695 = 24,820,695/x
  3. Step 3: Cross multiply
    11,513,586x = 24,820,695 × 24,820,695
  4. Step 4: Simplify right side
    11,513,586x = 616,066,900,283,025
  5. Step 5: Solve for x
    x = 616,066,900,283,025/11,513,586
  6. Step 6: Final answer
    x = 53,507,821.13

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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.