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Finding the Third Proportional to 10,347,165 and 21,765,906

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Solution

The third proportional to 10,347,165 and 21,765,906 is: 45,785,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347,165 : 21,765,906 = 21,765,906 : x
  2. Step 2: Convert to fraction form
    10,347,165/21,765,906 = 21,765,906/x
  3. Step 3: Cross multiply
    10,347,165x = 21,765,906 × 21,765,906
  4. Step 4: Simplify right side
    10,347,165x = 473,754,664,000,836
  5. Step 5: Solve for x
    x = 473,754,664,000,836/10,347,165
  6. Step 6: Final answer
    x = 45,785,938.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.