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Finding the Third Proportional to 14,657,890.50 and 32,206,441.50

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Solution

The third proportional to 14,657,890.50 and 32,206,441.50 is: 70,764,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657,890.50 : 32,206,441.50 = 32,206,441.50 : x
  2. Step 2: Convert to fraction form
    14,657,890.50/32,206,441.50 = 32,206,441.50/x
  3. Step 3: Cross multiply
    14,657,890.50x = 32,206,441.50 × 32,206,441.50
  4. Step 4: Simplify right side
    14,657,890.50x = 1,037,254,874,092,922.25
  5. Step 5: Solve for x
    x = 1,037,254,874,092,922.25/14,657,890.50
  6. Step 6: Final answer
    x = 70,764,266.80

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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.