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Finding the Third Proportional to 3,163,674 and 7,465,143

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Solution

The third proportional to 3,163,674 and 7,465,143 is: 17,615,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,674 : 7,465,143 = 7,465,143 : x
  2. Step 2: Convert to fraction form
    3,163,674/7,465,143 = 7,465,143/x
  3. Step 3: Cross multiply
    3,163,674x = 7,465,143 × 7,465,143
  4. Step 4: Simplify right side
    3,163,674x = 55,728,360,010,449
  5. Step 5: Solve for x
    x = 55,728,360,010,449/3,163,674
  6. Step 6: Final answer
    x = 17,615,076.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.