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Finding the Third Proportional to 7,907,822 and 17,265,868

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Solution

The third proportional to 7,907,822 and 17,265,868 is: 37,698,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907,822 : 17,265,868 = 17,265,868 : x
  2. Step 2: Convert to fraction form
    7,907,822/17,265,868 = 17,265,868/x
  3. Step 3: Cross multiply
    7,907,822x = 17,265,868 × 17,265,868
  4. Step 4: Simplify right side
    7,907,822x = 298,110,197,793,424
  5. Step 5: Solve for x
    x = 298,110,197,793,424/7,907,822
  6. Step 6: Final answer
    x = 37,698,142.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.