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Finding the Third Proportional to 10,308,075.19 and 20,355,958.13

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Solution

The third proportional to 10,308,075.19 and 20,355,958.13 is: 40,198,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308,075.19 : 20,355,958.13 = 20,355,958.13 : x
  2. Step 2: Convert to fraction form
    10,308,075.19/20,355,958.13 = 20,355,958.13/x
  3. Step 3: Cross multiply
    10,308,075.19x = 20,355,958.13 × 20,355,958.13
  4. Step 4: Simplify right side
    10,308,075.19x = 414,365,031,186,753.50
  5. Step 5: Solve for x
    x = 414,365,031,186,753.50/10,308,075.19
  6. Step 6: Final answer
    x = 40,198,099.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.