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Finding the Third Proportional to 9,509,325 and 14,445,833

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Solution

The third proportional to 9,509,325 and 14,445,833 is: 21,944,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509,325 : 14,445,833 = 14,445,833 : x
  2. Step 2: Convert to fraction form
    9,509,325/14,445,833 = 14,445,833/x
  3. Step 3: Cross multiply
    9,509,325x = 14,445,833 × 14,445,833
  4. Step 4: Simplify right side
    9,509,325x = 208,682,091,063,889
  5. Step 5: Solve for x
    x = 208,682,091,063,889/9,509,325
  6. Step 6: Final answer
    x = 21,944,995.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.