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Finding the Third Proportional to 8,977,797 and 13,929,836.63

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Solution

The third proportional to 8,977,797 and 13,929,836.63 is: 21,613,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977,797 : 13,929,836.63 = 13,929,836.63 : x
  2. Step 2: Convert to fraction form
    8,977,797/13,929,836.63 = 13,929,836.63/x
  3. Step 3: Cross multiply
    8,977,797x = 13,929,836.63 × 13,929,836.63
  4. Step 4: Simplify right side
    8,977,797x = 194,040,348,399,191.38
  5. Step 5: Solve for x
    x = 194,040,348,399,191.38/8,977,797
  6. Step 6: Final answer
    x = 21,613,358.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.