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Finding the Third Proportional to 14,657,859 and 32,206,378

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Solution

The third proportional to 14,657,859 and 32,206,378 is: 70,764,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657,859 : 32,206,378 = 32,206,378 : x
  2. Step 2: Convert to fraction form
    14,657,859/32,206,378 = 32,206,378/x
  3. Step 3: Cross multiply
    14,657,859x = 32,206,378 × 32,206,378
  4. Step 4: Simplify right side
    14,657,859x = 1,037,250,783,878,884
  5. Step 5: Solve for x
    x = 1,037,250,783,878,884/14,657,859
  6. Step 6: Final answer
    x = 70,764,139.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.