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Finding the Third Proportional to 7,835,645 and 16,464,441

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Solution

The third proportional to 7,835,645 and 16,464,441 is: 34,595,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835,645 : 16,464,441 = 16,464,441 : x
  2. Step 2: Convert to fraction form
    7,835,645/16,464,441 = 16,464,441/x
  3. Step 3: Cross multiply
    7,835,645x = 16,464,441 × 16,464,441
  4. Step 4: Simplify right side
    7,835,645x = 271,077,817,442,481
  5. Step 5: Solve for x
    x = 271,077,817,442,481/7,835,645
  6. Step 6: Final answer
    x = 34,595,469.48

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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.