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Finding the Third Proportional to 10,036,799 and 21,368,302

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Solution

The third proportional to 10,036,799 and 21,368,302 is: 45,493,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036,799 : 21,368,302 = 21,368,302 : x
  2. Step 2: Convert to fraction form
    10,036,799/21,368,302 = 21,368,302/x
  3. Step 3: Cross multiply
    10,036,799x = 21,368,302 × 21,368,302
  4. Step 4: Simplify right side
    10,036,799x = 456,604,330,363,204
  5. Step 5: Solve for x
    x = 456,604,330,363,204/10,036,799
  6. Step 6: Final answer
    x = 45,493,023.26

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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.