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Finding the Third Proportional to 4,699,742 and 10,295,020

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Solution

The third proportional to 4,699,742 and 10,295,020 is: 22,551,756.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699,742 : 10,295,020 = 10,295,020 : x
  2. Step 2: Convert to fraction form
    4,699,742/10,295,020 = 10,295,020/x
  3. Step 3: Cross multiply
    4,699,742x = 10,295,020 × 10,295,020
  4. Step 4: Simplify right side
    4,699,742x = 105,987,436,800,400
  5. Step 5: Solve for x
    x = 105,987,436,800,400/4,699,742
  6. Step 6: Final answer
    x = 22,551,756.42

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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.