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Finding the Third Proportional to 14,657,864.50 and 32,206,389.50

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Solution

The third proportional to 14,657,864.50 and 32,206,389.50 is: 70,764,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657,864.50 : 32,206,389.50 = 32,206,389.50 : x
  2. Step 2: Convert to fraction form
    14,657,864.50/32,206,389.50 = 32,206,389.50/x
  3. Step 3: Cross multiply
    14,657,864.50x = 32,206,389.50 × 32,206,389.50
  4. Step 4: Simplify right side
    14,657,864.50x = 1,037,251,524,625,710.25
  5. Step 5: Solve for x
    x = 1,037,251,524,625,710.25/14,657,864.50
  6. Step 6: Final answer
    x = 70,764,163.81

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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.