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Finding the Third Proportional to 10,097,106.75 and 22,021,789.50

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Solution

The third proportional to 10,097,106.75 and 22,021,789.50 is: 48,029,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,106.75 : 22,021,789.50 = 22,021,789.50 : x
  2. Step 2: Convert to fraction form
    10,097,106.75/22,021,789.50 = 22,021,789.50/x
  3. Step 3: Cross multiply
    10,097,106.75x = 22,021,789.50 × 22,021,789.50
  4. Step 4: Simplify right side
    10,097,106.75x = 484,959,212,782,310.25
  5. Step 5: Solve for x
    x = 484,959,212,782,310.25/10,097,106.75
  6. Step 6: Final answer
    x = 48,029,522.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.