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Finding the Third Proportional to 7,835,634 and 16,464,420

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Solution

The third proportional to 7,835,634 and 16,464,420 is: 34,595,429.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835,634 : 16,464,420 = 16,464,420 : x
  2. Step 2: Convert to fraction form
    7,835,634/16,464,420 = 16,464,420/x
  3. Step 3: Cross multiply
    7,835,634x = 16,464,420 × 16,464,420
  4. Step 4: Simplify right side
    7,835,634x = 271,077,125,936,400
  5. Step 5: Solve for x
    x = 271,077,125,936,400/7,835,634
  6. Step 6: Final answer
    x = 34,595,429.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.