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Finding the Third Proportional to 14,947,213.50 and 32,686,051.50

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Solution

The third proportional to 14,947,213.50 and 32,686,051.50 is: 71,476,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947,213.50 : 32,686,051.50 = 32,686,051.50 : x
  2. Step 2: Convert to fraction form
    14,947,213.50/32,686,051.50 = 32,686,051.50/x
  3. Step 3: Cross multiply
    14,947,213.50x = 32,686,051.50 × 32,686,051.50
  4. Step 4: Simplify right side
    14,947,213.50x = 1,068,377,962,660,652.25
  5. Step 5: Solve for x
    x = 1,068,377,962,660,652.25/14,947,213.50
  6. Step 6: Final answer
    x = 71,476,731.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.