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Finding the Third Proportional to 3,591,296 and 7,742,304

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Solution

The third proportional to 3,591,296 and 7,742,304 is: 16,691,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591,296 : 7,742,304 = 7,742,304 : x
  2. Step 2: Convert to fraction form
    3,591,296/7,742,304 = 7,742,304/x
  3. Step 3: Cross multiply
    3,591,296x = 7,742,304 × 7,742,304
  4. Step 4: Simplify right side
    3,591,296x = 59,943,271,228,416
  5. Step 5: Solve for x
    x = 59,943,271,228,416/3,591,296
  6. Step 6: Final answer
    x = 16,691,264.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.