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Finding the Third Proportional to 5,847,756 and 9,000,000

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Solution

The third proportional to 5,847,756 and 9,000,000 is: 13,851,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847,756 : 9,000,000 = 9,000,000 : x
  2. Step 2: Convert to fraction form
    5,847,756/9,000,000 = 9,000,000/x
  3. Step 3: Cross multiply
    5,847,756x = 9,000,000 × 9,000,000
  4. Step 4: Simplify right side
    5,847,756x = 81,000,000,000,000
  5. Step 5: Solve for x
    x = 81,000,000,000,000/5,847,756
  6. Step 6: Final answer
    x = 13,851,467.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.