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Finding the Third Proportional to 5,847,780 and 9,000,036

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Solution

The third proportional to 5,847,780 and 9,000,036 is: 13,851,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847,780 : 9,000,036 = 9,000,036 : x
  2. Step 2: Convert to fraction form
    5,847,780/9,000,036 = 9,000,036/x
  3. Step 3: Cross multiply
    5,847,780x = 9,000,036 × 9,000,036
  4. Step 4: Simplify right side
    5,847,780x = 81,000,648,001,296
  5. Step 5: Solve for x
    x = 81,000,648,001,296/5,847,780
  6. Step 6: Final answer
    x = 13,851,521.09

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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.