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Finding the Third Proportional to 9,145,050 and 13,464,918

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Solution

The third proportional to 9,145,050 and 13,464,918 is: 19,825,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145,050 : 13,464,918 = 13,464,918 : x
  2. Step 2: Convert to fraction form
    9,145,050/13,464,918 = 13,464,918/x
  3. Step 3: Cross multiply
    9,145,050x = 13,464,918 × 13,464,918
  4. Step 4: Simplify right side
    9,145,050x = 181,304,016,746,724
  5. Step 5: Solve for x
    x = 181,304,016,746,724/9,145,050
  6. Step 6: Final answer
    x = 19,825,371.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.