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Finding the Third Proportional to 10,430,966 and 21,156,715

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Solution

The third proportional to 10,430,966 and 21,156,715 is: 42,911,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430,966 : 21,156,715 = 21,156,715 : x
  2. Step 2: Convert to fraction form
    10,430,966/21,156,715 = 21,156,715/x
  3. Step 3: Cross multiply
    10,430,966x = 21,156,715 × 21,156,715
  4. Step 4: Simplify right side
    10,430,966x = 447,606,589,591,225
  5. Step 5: Solve for x
    x = 447,606,589,591,225/10,430,966
  6. Step 6: Final answer
    x = 42,911,326.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.