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Finding the Third Proportional to 7,481,835 and 16,082,541

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Solution

The third proportional to 7,481,835 and 16,082,541 is: 34,570,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481,835 : 16,082,541 = 16,082,541 : x
  2. Step 2: Convert to fraction form
    7,481,835/16,082,541 = 16,082,541/x
  3. Step 3: Cross multiply
    7,481,835x = 16,082,541 × 16,082,541
  4. Step 4: Simplify right side
    7,481,835x = 258,648,125,016,681
  5. Step 5: Solve for x
    x = 258,648,125,016,681/7,481,835
  6. Step 6: Final answer
    x = 34,570,145.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.