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Finding the Third Proportional to 10,199,803.50 and 22,043,750.06

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Solution

The third proportional to 10,199,803.50 and 22,043,750.06 is: 47,640,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199,803.50 : 22,043,750.06 = 22,043,750.06 : x
  2. Step 2: Convert to fraction form
    10,199,803.50/22,043,750.06 = 22,043,750.06/x
  3. Step 3: Cross multiply
    10,199,803.50x = 22,043,750.06 × 22,043,750.06
  4. Step 4: Simplify right side
    10,199,803.50x = 485,926,916,817,968.75
  5. Step 5: Solve for x
    x = 485,926,916,817,968.75/10,199,803.50
  6. Step 6: Final answer
    x = 47,640,811.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.