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Finding the Third Proportional to 9,205,951 and 13,808,922

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Solution

The third proportional to 9,205,951 and 13,808,922 is: 20,713,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205,951 : 13,808,922 = 13,808,922 : x
  2. Step 2: Convert to fraction form
    9,205,951/13,808,922 = 13,808,922/x
  3. Step 3: Cross multiply
    9,205,951x = 13,808,922 × 13,808,922
  4. Step 4: Simplify right side
    9,205,951x = 190,686,326,802,084
  5. Step 5: Solve for x
    x = 190,686,326,802,084/9,205,951
  6. Step 6: Final answer
    x = 20,713,376.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.