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Finding the Third Proportional to 10,427,436 and 21,808,260

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Solution

The third proportional to 10,427,436 and 21,808,260 is: 45,610,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427,436 : 21,808,260 = 21,808,260 : x
  2. Step 2: Convert to fraction form
    10,427,436/21,808,260 = 21,808,260/x
  3. Step 3: Cross multiply
    10,427,436x = 21,808,260 × 21,808,260
  4. Step 4: Simplify right side
    10,427,436x = 475,600,204,227,600
  5. Step 5: Solve for x
    x = 475,600,204,227,600/10,427,436
  6. Step 6: Final answer
    x = 45,610,464.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.