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Finding the Third Proportional to 10,385,340 and 22,599,378

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Solution

The third proportional to 10,385,340 and 22,599,378 is: 49,178,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,340 : 22,599,378 = 22,599,378 : x
  2. Step 2: Convert to fraction form
    10,385,340/22,599,378 = 22,599,378/x
  3. Step 3: Cross multiply
    10,385,340x = 22,599,378 × 22,599,378
  4. Step 4: Simplify right side
    10,385,340x = 510,731,885,986,884
  5. Step 5: Solve for x
    x = 510,731,885,986,884/10,385,340
  6. Step 6: Final answer
    x = 49,178,157.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.