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Finding the Third Proportional to 21,436,314 and 45,637,824

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Solution

The third proportional to 21,436,314 and 45,637,824 is: 97,162,738.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,436,314 : 45,637,824 = 45,637,824 : x
  2. Step 2: Convert to fraction form
    21,436,314/45,637,824 = 45,637,824/x
  3. Step 3: Cross multiply
    21,436,314x = 45,637,824 × 45,637,824
  4. Step 4: Simplify right side
    21,436,314x = 2,082,810,979,454,976
  5. Step 5: Solve for x
    x = 2,082,810,979,454,976/21,436,314
  6. Step 6: Final answer
    x = 97,162,738.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.