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Finding the Third Proportional to 21,767,069 and 31,465,918

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Solution

The third proportional to 21,767,069 and 31,465,918 is: 45,486,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767,069 : 31,465,918 = 31,465,918 : x
  2. Step 2: Convert to fraction form
    21,767,069/31,465,918 = 31,465,918/x
  3. Step 3: Cross multiply
    21,767,069x = 31,465,918 × 31,465,918
  4. Step 4: Simplify right side
    21,767,069x = 990,103,995,582,724
  5. Step 5: Solve for x
    x = 990,103,995,582,724/21,767,069
  6. Step 6: Final answer
    x = 45,486,325.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.