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Finding the Third Proportional to 9,646,823 and 20,087,491

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Solution

The third proportional to 9,646,823 and 20,087,491 is: 41,827,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,823 : 20,087,491 = 20,087,491 : x
  2. Step 2: Convert to fraction form
    9,646,823/20,087,491 = 20,087,491/x
  3. Step 3: Cross multiply
    9,646,823x = 20,087,491 × 20,087,491
  4. Step 4: Simplify right side
    9,646,823x = 403,507,294,675,081
  5. Step 5: Solve for x
    x = 403,507,294,675,081/9,646,823
  6. Step 6: Final answer
    x = 41,827,998.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.